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

被引：0
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作者：
Ta Quang Son
Nguyen Van Tuyen
Ching-Feng Wen
机构：
[1] Saigon University,Faculty of Mathematics and Applications
[2] Hanoi Pedagogical University 2,Department of Mathematics
[3] Center for Fundamental Science,Research Center for Nonlinear Analysis and Optimization
[4] Kaohsiung Medical University,Department of Medical Research
[5] Kaohsiung Medical University Hospital,undefined
来源：
Acta Mathematica Vietnamica | 2020年 / 45卷
关键词：
Approximate Pareto solutions; Optimality conditions; Clarke subdifferential; Semi-infinite vector optimization; Infinite vector optimization; 41A65; 65K10; 90C34; 90C29; 90C46;
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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：13
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