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SECOND-ORDER OPTIMALITY CONDITIONS IN SET-VALUED OPTIMIZATION BY A NEW TANGENTIAL DERIVATIVE

G. ISAC, A. A. KHAN

Abstract

This paper gives new second-order necessary and sufficient optimality conditions in set-valued optimization. We define second-order tangential derivative/epiderivative of set-valued maps by taking contingent derivative of the first-order contingent derivative. The resulting derivatives/epiderivatives have strikingly simple structure and nice properties. The proposed derivatives are then employed to give new second-order optimality conditions for weakminimality in set-valued optimization.

Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội

Điện thoại: 024 37563474 - Fax: 024 37564303

Email: vientoan@math.ac.vn

Viện nghiên cứu cao cấp về toán Hội Toán học Mỹ MathScinet Thư viện số (VAST) Arxiv
Lịch hoạt động chung Lịch sử dụng phòng, hội trường, hội thảo Ảnh hoạt động
Giới thiệu Đăng nhập Đăng ký tài khoản Quên mật khẩu Chính sách bảo mật
Messages2TimelineExceptionsViews8RouteQueries108Models431MailsGateSessionRequest
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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