KARUSH-KUHN-TUCKER OPTIMALITY CONDITIONS AND DUALITY FOR A SEMI-INFINITE PROGRAMMING WITH MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTIONS

被引：5

作者：

Le Thanh Tung ^{[1
]}

机构：

[1] Can Tho Univ, Dept Math, Coll Nat Sci, Can Tho 900000, Vietnam

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2019年 / 2019卷

关键词：

Multiobjective semi-infinite programming; Interval-valued objective functions; Karush-Kuhn-Tucker optimality conditions; Mond-Weir duality; Wolfe duality; OPTIMIZATION;

D O I：

10.23952/jnfa.2019.22

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a semi-infinite programming with multiple interval-valued objective functions. We first investigate necessary and sufficient Karush-Kuhn-Tucker optimality conditions for some types of optimal 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.

引用

页数：21

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