Tin tức nổi bật
Hội thảo sắp diễn ra
05/03/24, Hội nghị, hội thảo:
HỘI NGHỊ ĐẠI SỐ-LÝ THUYẾT SỐ-HÌNH HỌC-TÔ PÔ 2024
28/07/24, Hội nghị, hội thảo:
School and Workshop “Selected topics in Arithmetic Algebraic Geometry”
18/09/24, Hội nghị, hội thảo:
THE 3RD VIETNAM - KOREA JOINT WORKSHOP ON SELECTED TOPICS IN MATHEMATICS
Xuất bản mới
Trần Hùng Cường,
Yongdo Lim,
Nguyễn Đông Yên,
On a solution method in indefinite quadratic programming under linear constraints,
Optimization, Volume 73, 2024 - Issue 4, Pages 1087-1112
(SCI-E, Scopus)
.
Yongdo Lim,
Hoàng Ngọc Tuấn,
Nguyễn Đông Yên,
Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces,,
Numerical Functional Analysis and Optimization, Volume 45, 2024, Issue 1, Pages 1-15
(SCI-E, Scopus)
.
Đỗ Thái Dương,
Nguyễn Văn Thiện,
On the finite energy classes of quaternionic plurisubharmonic functions,
Journal of Mathematical Analysis and Applications, Volume 541, Issue 1, January 2025, 128736
(SCI-E, Scopus)
.
Approximate Proper Efficiency in Vector Optimization via Benson's Approach (tiếp theo báo cáo tuần trước)
Người báo cáo: Nguyễn Thị Thu Hương (Học viện Kỹ thuật Quân sự)
Thời gian :9h00 đến 11h00 sáng thứ 4 ngày 17.01.2024
Địa điểm: Phòng 302 nhà A5 Viện Toán học.
Tóm tắt: We present two criteria for checking approximate proper efficiency in vector optimization problems with the ordering cone being a nonnegative orthant. Although the criteria can be established by Benson's approach [H.P. Benson, textit{An improved definition of proper efficiency for vector maximization with respect to cones}, J. Math. Anal. Appl. textbf{71} (1979), 232--241], detailed proofs are given for the first time here. The two criteria are strong motivations to introduce the concept of $e$-properly efficient solution, where $e$ is any nonzero vector taken from the closed pointed convex ordering cone. For an arbitrary linear vector optimization problem, we show that either the $e$-properly efficient solution set is empty or it coincides with the $e$-efficient solution set. This new result has no analogue in the literature.