Karush-Kuhn-Tucker optimality conditions and duality for convex semi-infinite programming with multiple interval-valued objective functions

被引：43
|
作者：
Tung, Le Thanh [1 ]
机构：
[1] Can Tho Univ, Dept Math, Coll Nat Sci, Can Tho 900000, Vietnam
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2020年 / 62卷 / 1-2期
关键词：
Multiobjective convex semi-infinite programming; Interval-valued objective functions; Karush-Kuhn-Tucker optimality conditions; Mond-Weir duality; Wolfe duality; OPTIMIZATION PROBLEMS;
D O I：
10.1007/s12190-019-01274-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with convex 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 the advantages of our results in some cases.
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页码：67 / 91
页数：25
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