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

共 35 条

[21] OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR NONSMOOTH VECTOR OPTIMIZATION PROBLEMS WITH THE MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTION [J].

Tadeusz ANTCZAK .

Acta Mathematica Scientia, 2017, (04) :1133-1150

[22] Optimality conditions and Mond-Weir duality for a class of differentiable semi-infinite multiobjective programming problems with vanishing constraints [J].

Antczak, Tadeusz .

4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2022, 20 (03) :417-442

[23] Optimality conditions and duality results for a class of differentiable vector optimization problems with the multiple interval-valued objective function [J].

Antczak, Tadeusz ;

Michalak, Anna .

2017 INTERNATIONAL CONFERENCE ON CONTROL, ARTIFICIAL INTELLIGENCE, ROBOTICS & OPTIMIZATION (ICCAIRO), 2017, :207-218

[24] SUFFICIENT OPTIMALITY CONDITIONS AND DUALITY IN VECTOR OPTIMIZATION WITH INVEX-CONVEXLIKE FUNCTIONS [J].

KHANH, PQ .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1995, 87 (02) :359-378

[25] A new approximation approach to optimality and duality for a class of nonconvex differentiable vector optimization problems [J].

Tadeusz Antczak .

Computational Management Science, 2021, 18 :49-71

[26] A new approximation approach to optimality and duality for a class of nonconvex differentiable vector optimization problems [J].

Antczak, Tadeusz .

COMPUTATIONAL MANAGEMENT SCIENCE, 2021, 18 (01) :49-71

[27] NECESSARY AND SUFFICIENT KKT OPTIMALITY CONDITIONS IN NON-CONVEX MULTI-OBJECTIVE OPTIMIZATION PROBLEMS WITH CONE CONSTRAINTS [J].

Sisarat, Nithirat ;

Wangkeeree, Rabian .

PACIFIC JOURNAL OF OPTIMIZATION, 2019, 15 (03) :477-490

[28] Fractional semi-infinite programming problems: optimality conditions and duality via tangential subdifferentials [J].

Tripathi, Indira P. ;

Arora, Mahamadsohil A. .

COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (06)

[29] Optimality conditions for invex nonsmooth optimization problems with fuzzy objective functions [J].

Tadeusz Antczak .

Fuzzy Optimization and Decision Making, 2023, 22 :1-21

[30] Optimality conditions for invex nonsmooth optimization problems with fuzzy objective functions [J].

Antczak, Tadeusz .

FUZZY OPTIMIZATION AND DECISION MAKING, 2023, 22 (01) :1-21

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