Karush-Kuhn-Tucker optimality conditions and duality for set optimization problems with mixed constraints

被引：0
|
作者：
Tung L.T. [1 ]
Khai T.T. [2 ]
Hung P.T. [3 ]
Ngoc P.L.B. [3 ]
机构：
[1] Department of Mathematics, College of Natural Sciences, Can Tho University, Can Tho
[2] Center for Training and Enterprise Cooperation, Tra Vinh University, Tra Vinh
[3] Faculty of Pedagogy and Faculty of Social Sciences and Humanities, Kien Giang University, Kien Giang
来源：
Journal of Applied and Numerical Optimization | 2019年 / 1卷 / 03期
关键词：
Karush-Kuhn-Tucker optimality conditions; Mond-Weir duality; Set optimization problems with mixed constraints; Strict minimal solutions; Wolfe duality;
D O I：
10.23952/jano.1.2019.3.07
中图分类号：
学科分类号：
摘要：
In this paper, we consider set optimization problems with mixed constraints. We first investigate necessary and sufficient Karush-Kuhn-Tucker optimality conditions for strict minimal solutions. Then, we formulate types of Mond-Weir and Wolfe dual problems and explore duality relations under convexity assumptions. Some examples are provided to illustrate our results. © 2019 Journal of Applied and Numerical Optimization.
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页码：277 / 291
页数：14
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