On strongly quasiconvex functions (part II): proximal point algorithms and open problems

Người báo cáo: Felipe Lara (University of Tarapacá in Arica, Chile)

Time: 9:00 - 10:00 AM, Date: March 29th, 2023 (Wednesday)

Location: Room 612, building A6, Institute of Mathematics (18 Hoang Quoc Viet, Cau Giay, Hanoi)

Abstract: In this talk, we study the convergence of the proximal point algorithm (PPA henceforth) for the minimization problem of strongly quasiconvex functions and its accelerations as the inertial-relaxed versions as well as its generalization for Bregman distances. Furthermore, we extend this analysis to pseudomonotone equilibrium problems. Moreover, and using the study of the subgradient projection method with the strong subdifferential, we present two extragradient methods for dealing with pseudomonotone equilibrium problems. Finally, we present two open problems; connections between generalized convexity and generalized monotonicity and optimality conditions for the sum of two functions in which one of them is nonsmooth and strongly quasiconvex.

8.1.30PHP Version247msRequest Duration4MBMemory UsageGET xemina-chi-tiet/{alias}Route
    • Booting (46.45ms)
    • Application (201ms)
    • 1 x Application (81.21%)
      201ms
      1 x Booting (18.78%)
      46.45ms
      7 templates were rendered
      • client.pages.seminar.seminar_detail (resources/views/client/pages/seminar/seminar_detail.blade.php)1blade
        Params
        0
        serminar
      • client.layout.app (resources/views/client/layout/app.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.head (resources/views/client/layouts/head.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.header (resources/views/client/layouts/header.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.navbar (resources/views/client/layouts/navbar.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.column_left (resources/views/client/layouts/column_left.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.footer (resources/views/client/layouts/footer.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      uri
      GET xemina-chi-tiet/{alias}
      middleware
      web, locale
      controller
      App\Http\Controllers\SeminarController@view_seminar_detail
      namespace
      prefix
      where
      as
      seminar.detail
      file
      app/Http/Controllers/SeminarController.php:38-61
      36 statements were executed, 14 of which were duplicated, 22 unique88.78ms
      • select * from `serminars` where `ser_alias` = 'on-strongly-quasiconvex-functions-part-ii-proximal-point-algorithms-and-open-problems' limit 1
        5.76ms/app/Http/Controllers/SeminarController.php:40beta_math_vn
        Metadata
        Bindings
        • 0. on-strongly-quasiconvex-functions-part-ii-proximal-point-algorithms-and-open-problems
        Backtrace
        • 15. /app/Http/Controllers/SeminarController.php:40
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:262
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `members` where `members`.`id` in (551)
        9.99ms/app/Http/Controllers/SeminarController.php:40beta_math_vn
        Metadata
        Backtrace
        • 20. /app/Http/Controllers/SeminarController.php:40
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:262
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `serminar_rooms` where `serminar_rooms`.`id` in (39)
        5.35ms/app/Http/Controllers/SeminarController.php:40beta_math_vn
        Metadata
        Backtrace
        • 20. /app/Http/Controllers/SeminarController.php:40
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:262
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `pages`
        1.94ms/app/Repositories/Pages/PagesRepository.php:30beta_math_vn
        Metadata
        Backtrace
        • 17. /app/Repositories/Pages/PagesRepository.php:30
        • 18. view::41329013d802ceb5f40c0b002e8af12e76ed34df:33
        • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `pages`
        2.62ms/app/Repositories/Pages/PagesRepository.php:30beta_math_vn
        Metadata
        Backtrace
        • 17. /app/Repositories/Pages/PagesRepository.php:30
        • 18. view::41329013d802ceb5f40c0b002e8af12e76ed34df:73
        • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `departments` where `parent_id` = 0 order by `order` asc
        5.89ms/app/Repositories/Department/DepartmentRepository.php:17beta_math_vn
        Metadata
        Bindings
        • 0. 0
        Backtrace
        • 14. /app/Repositories/Department/DepartmentRepository.php:17
        • 15. view::41329013d802ceb5f40c0b002e8af12e76ed34df:91
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `departments` where `departments`.`parent_id` in (12, 13, 14, 15, 16) order by `order` asc
        1.15ms/app/Repositories/Department/DepartmentRepository.php:17beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Department/DepartmentRepository.php:17
        • 20. view::41329013d802ceb5f40c0b002e8af12e76ed34df:91
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `departments` where `departments`.`parent_id` = 1 and `departments`.`parent_id` is not null order by `order` asc
        1.01msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 2 and `departments`.`parent_id` is not null order by `order` asc
        990μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 2
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 3 and `departments`.`parent_id` is not null order by `order` asc
        1.02msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 3
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 4 and `departments`.`parent_id` is not null order by `order` asc
        1.13msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 4
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 5 and `departments`.`parent_id` is not null order by `order` asc
        1.04msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 5
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 6 and `departments`.`parent_id` is not null order by `order` asc
        1.04msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 6
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 7 and `departments`.`parent_id` is not null order by `order` asc
        1.17msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 7
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 8 and `departments`.`parent_id` is not null order by `order` asc
        950μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 8
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 9 and `departments`.`parent_id` is not null order by `order` asc
        970μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 9
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 17 and `departments`.`parent_id` is not null order by `order` asc
        1.05msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 17
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 10 and `departments`.`parent_id` is not null order by `order` asc
        1.12msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 10
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `cadres`
        1.19ms/app/Repositories/Department/DepartmentRepository.php:37beta_math_vn
        Metadata
        Backtrace
        • 17. /app/Repositories/Department/DepartmentRepository.php:37
        • 18. view::41329013d802ceb5f40c0b002e8af12e76ed34df:144
        • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `posts_category`
        1.02ms/app/Repositories/Posts/PostsRepository.php:48beta_math_vn
        Metadata
        Backtrace
        • 15. /app/Repositories/Posts/PostsRepository.php:48
        • 16. view::41329013d802ceb5f40c0b002e8af12e76ed34df:186
        • 18. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `posts` where `hot` = 1 and `posts`.`deleted_at` is null order by `date_create` desc limit 3
        6.48ms/app/Repositories/Posts/PostsRepository.php:19beta_math_vn
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 14. /app/Repositories/Posts/PostsRepository.php:19
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:15
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `conferences` where date(`date_show`) <= '2025-12-31' and ((date(`date_create`) >= '2025-01-01' and date(`date_create`) <= '2025-12-31') or (date(`date_end`) >= '2025-01-01' and date(`date_end`) <= '2025-12-31') or (date(`date_create`) <= '2025-01-01' and date(`date_end`) >= '2025-12-31')) limit 3
        4.41ms/app/Repositories/Conferences/ConferencesRepository.php:39beta_math_vn
        Metadata
        Bindings
        • 0. 2025-12-31
        • 1. 2025-01-01
        • 2. 2025-12-31
        • 3. 2025-01-01
        • 4. 2025-12-31
        • 5. 2025-01-01
        • 6. 2025-12-31
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:39
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:43
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `prints` where `pr_hot` = '1' order by `created_at` desc limit 3
        4.39ms/app/Repositories/Pages/PagesRepository.php:156beta_math_vn
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 14. /app/Repositories/Pages/PagesRepository.php:156
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:74
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select `members`.*, `same_authorsables`.`same_authors_id` as `pivot_same_authors_id`, `same_authorsables`.`members_id` as `pivot_members_id`, `same_authorsables`.`same_authors_type` as `pivot_same_authors_type` from `members` inner join `same_authorsables` on `members`.`id` = `same_authorsables`.`members_id` where `same_authorsables`.`same_authors_id` in (1134, 1135, 1137) and `same_authorsables`.`same_authors_type` = 'App\Models\Prints'
        2.69ms/app/Repositories/Pages/PagesRepository.php:156beta_math_vn
        Metadata
        Bindings
        • 0. App\Models\Prints
        Backtrace
        • 18. /app/Repositories/Pages/PagesRepository.php:156
        • 19. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:74
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1137 order by `id` asc
        2.88ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1137
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (305, 306, 671)
        970μs/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1137 order by `id` asc
        1.86ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1137
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (305, 306, 671)
        1.09ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1135 order by `id` asc
        1.77ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1135
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (138, 161, 252)
        900μs/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1135 order by `id` asc
        3.98ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1135
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (138, 161, 252)
        1.86ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1134 order by `id` asc
        5.11ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1134
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (181, 667, 668, 669, 670)
        910μs/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1134 order by `id` asc
        1.83ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1134
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (181, 667, 668, 669, 670)
        1.25ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      App\Models\SameAuthorsables
      22
      App\Models\Prints
      3
      App\Models\Conference
      3
      App\Models\Posts
      3
      App\Models\PostsCategory
      5
      App\Models\Cadres
      7
      App\Models\Department
      16
      App\Models\Pages
      54
      App\Models\SerminarRoom
      1
      App\Models\Members
      34
      App\Models\Serminars
      1
          _token
          QSG6TJubjS99dhZ4QsY8s1AAO6OSv7dPzP9dvOLg
          _previous
          array:1 [ "url" => "https://beta.math.ac.vn/xemina-chi-tiet/on-strongly-quasiconvex-functions-part...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /xemina-chi-tiet/on-strongly-quasiconvex-functions-part-ii-proximal-point-algorithms-and-open-problems
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:15 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "beta.math.ac.vn" ] ]
          request_server
          0 of 0
          array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "beta.math.ac.vn" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "beta.math.ac.vn" "SERVER_PORT" => "443" "SERVER_ADDR" => "119.17.215.180" "REMOTE_PORT" => "64725" "REMOTE_ADDR" => "3.145.63.63" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/math.ac.vn/html/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/xemina-chi-tiet/on-strongly-quasiconvex-functions-part-ii-proximal-point-algorithms-and-open-problems" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/math.ac.vn/html/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1743627479.4419 "REQUEST_TIME" => 1743627479 ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Wed, 02 Apr 2025 20:57:59 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Im9nOXZyYWUrN1VqNnNkd3pVMzlXaFE9PSIsInZhbHVlIjoiZTdOcmJCb1kyRmhyWmxoRnpjelZVVmFHczhCUHZJQUF3c1N4NXBRQzUydG9mNmZ1TExENTB6VVN5ZktRcVBlUEhZWkJ2SjFScnJXbnFnWHNjSGtsN0ovNHJvL2lIbXJzeHoxa3grZXRXVElGUjhxRW4xNVBEQ1FtYnFka2hvRjAiLCJtYWMiOiJjNWQ3YjI0ZTE3NWZiN2M0MTZkODVlZjI3MjExZTE4MjJkNDc2YzRmYmFjYzUwZWQzNDY3YjNkYTZiNzM4ZDMwIiwidGFnIjoiIn0%3D; expires=Wed, 02-Apr-2025 22:57:59 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6Im9nOXZyYWUrN1VqNnNkd3pVMzlXaFE9PSIsInZhbHVlIjoiZTdOcmJCb1kyRmhyWmxoRnpjelZVVmFHczhCUHZJQUF3c1N4NXBRQzUydG9mNmZ1TExENTB6VVN5ZktRcVBlUEhZWkJ2S" 1 => "laravel_session=eyJpdiI6IkJpbTBqUEJ2QnVUc1NjUDNDdk0xZWc9PSIsInZhbHVlIjoiOUFKZjh3T1Y3d293ZElZTFpmbldnQ2VZdkJQbUxOdFpjRXhIY0pUVTlHVW9sZ01zcDFvUldVbW9wbDhBaE1yYytTaEFic0dvS2VKVHhvV0p6N3pCUW1EUGZ6MjlndGhWV0xqQ0tkeHQzWk42UkJEblRjMmFOZTJFbUdiOTY1ZzAiLCJtYWMiOiJiZmM3MTA5NTkzMjU1Yjk3OTA5YTM2MTczOTBmOTEzZGVmOTNhZGFkZjc1YjI1OTYyYzM4YTc2YjlhZGExMGE0IiwidGFnIjoiIn0%3D; expires=Wed, 02-Apr-2025 22:57:59 GMT; Max-Age=7200; path=/; httponly; samesite=laxlaravel_session=eyJpdiI6IkJpbTBqUEJ2QnVUc1NjUDNDdk0xZWc9PSIsInZhbHVlIjoiOUFKZjh3T1Y3d293ZElZTFpmbldnQ2VZdkJQbUxOdFpjRXhIY0pUVTlHVW9sZ01zcDFvUldVbW9wbDhBaE1yYytT" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Im9nOXZyYWUrN1VqNnNkd3pVMzlXaFE9PSIsInZhbHVlIjoiZTdOcmJCb1kyRmhyWmxoRnpjelZVVmFHczhCUHZJQUF3c1N4NXBRQzUydG9mNmZ1TExENTB6VVN5ZktRcVBlUEhZWkJ2SjFScnJXbnFnWHNjSGtsN0ovNHJvL2lIbXJzeHoxa3grZXRXVElGUjhxRW4xNVBEQ1FtYnFka2hvRjAiLCJtYWMiOiJjNWQ3YjI0ZTE3NWZiN2M0MTZkODVlZjI3MjExZTE4MjJkNDc2YzRmYmFjYzUwZWQzNDY3YjNkYTZiNzM4ZDMwIiwidGFnIjoiIn0%3D; expires=Wed, 02-Apr-2025 22:57:59 GMT; path=/XSRF-TOKEN=eyJpdiI6Im9nOXZyYWUrN1VqNnNkd3pVMzlXaFE9PSIsInZhbHVlIjoiZTdOcmJCb1kyRmhyWmxoRnpjelZVVmFHczhCUHZJQUF3c1N4NXBRQzUydG9mNmZ1TExENTB6VVN5ZktRcVBlUEhZWkJ2S" 1 => "laravel_session=eyJpdiI6IkJpbTBqUEJ2QnVUc1NjUDNDdk0xZWc9PSIsInZhbHVlIjoiOUFKZjh3T1Y3d293ZElZTFpmbldnQ2VZdkJQbUxOdFpjRXhIY0pUVTlHVW9sZ01zcDFvUldVbW9wbDhBaE1yYytTaEFic0dvS2VKVHhvV0p6N3pCUW1EUGZ6MjlndGhWV0xqQ0tkeHQzWk42UkJEblRjMmFOZTJFbUdiOTY1ZzAiLCJtYWMiOiJiZmM3MTA5NTkzMjU1Yjk3OTA5YTM2MTczOTBmOTEzZGVmOTNhZGFkZjc1YjI1OTYyYzM4YTc2YjlhZGExMGE0IiwidGFnIjoiIn0%3D; expires=Wed, 02-Apr-2025 22:57:59 GMT; path=/; httponlylaravel_session=eyJpdiI6IkJpbTBqUEJ2QnVUc1NjUDNDdk0xZWc9PSIsInZhbHVlIjoiOUFKZjh3T1Y3d293ZElZTFpmbldnQ2VZdkJQbUxOdFpjRXhIY0pUVTlHVW9sZ01zcDFvUldVbW9wbDhBaE1yYytT" ] ]
          session_attributes
          0 of 0
          array:4 [ "_token" => "QSG6TJubjS99dhZ4QsY8s1AAO6OSv7dPzP9dvOLg" "_previous" => array:1 [ "url" => "https://beta.math.ac.vn/xemina-chi-tiet/on-strongly-quasiconvex-functions-part-ii-proximal-point-algorithms-and-open-problems" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]