Optimality Conditions for Approximate Pareto Solutions of a Nonsmooth Vector Optimization Problem with an Infinite Number of Constraints

被引：16

作者：

Ta Quang Son ^{[1
]}

Nguyen Van Tuyen ^{[2
]}

Wen, Ching-Feng ^{[3
,4
,5
]}

机构：

[1] Saigon Univ, Fac Math & Applicat, Ho Chi Minh City, Vietnam

[2] Hanoi Pedag Univ, Dept Math, 2 Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam

[3] Ctr Fundamental Sci, Kaohsiung, Taiwan

[4] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung, Taiwan

[5] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan

来源：

ACTA MATHEMATICA VIETNAMICA | 2020年 / 45卷 / 02期

关键词：

Approximate Pareto solutions; Optimality conditions; Clarke subdifferential; Semi-infinite vector optimization; Infinite vector optimization; VARIATIONAL PRINCIPLE; SEMIINFINITE; QUALIFICATIONS; THEOREMS; EXISTENCE; DUALITY; SYSTEMS;

D O I：

10.1007/s40306-019-00358-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present some new necessary and sufficient optimality conditions in terms of Clarke subdifferentials for approximate Pareto solutions of a nonsmooth vector optimization problem which has an infinite number of constraints. As a consequence, we obtain optimality conditions for the particular cases of cone-constrained convex vector optimization problems and semidefinite vector optimization problems. Examples are given to illustrate the obtained results.

引用

页码：435 / 448

页数：14

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