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.
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页码：435 / 448
页数：14
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