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.

引用

页码：277 / 291

页数：14

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