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

被引：4
|
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.
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页数：21
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