Optimality conditions at infinity in semialgebraic vector optimization

Người báo cáo: Jiao Liguo (Northeast Normal University, China)

Date: 9:00 - 10:00, 02 October 2025

Venue: Room 301, A5, Institute of Mathematics

Abstract: In this talk, we establish optimality conditions for semialgebraic vector optimization problems with a situation in which generalized (weakly) nondominated points do exist but are not attained as image points of (weakly) efficient solutions. To this end, cones associated with unbounded semialgebraic sets at infinity are introduced and studied. Then optimality conditions at infinity in terms of the Newton polyhedra of the objective mappings and of the cones associated with the constraint sets at infinity for the problems in question are proposed.

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Xuất bản mới
Cấn Văn Hảo, Naoki Kubota, Shuta Nakajima, Upper tail large deviation for the one-dimensional frog model, Probability Theory and Related Fields, Volume 194, pages 1945–2023 (2026) .
Lê Viết Cường, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Proportional local assignability of two-sided dichotomy spectrum of linear time-varying systems, Journal of Differential Equations Volume 477, 5 October 2026, 114592 .
Lê Tuấn Hoa, Doan Quang Tien, New bounds on Castelnuovo-Mumford regularity of monomial curves and application to sumsets, Journal of Pure and Applied Algebra Volume 230, Issue 9, September 2026, 108323 .