Optimality Conditions and Duality for Multiobjective Semi-infinite Programming on Hadamard Manifolds

被引：13

作者：

Le Thanh Tung ^{[1
]}

Dang Hoang Tam ^{[1
]}

机构：

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

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 05期

关键词：

Multiobjective semi-infinite programming; Karush-Kuhn-Tucker optimality conditions; Mond-Weir duality; Wolfe duality; Hadamard manifolds; Geodesic convexity; WEAK SHARP MINIMA; OPTIMIZATION PROBLEMS;

D O I：

10.1007/s41980-021-00646-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to studying the problem of multiobjective semi-infinite programming on Hadamard manifolds. We first establish both Karush-Kuhn-Tucker necessary and sufficient optimality conditions for some type of efficient solutions. Then, we propose Wolfe and Mond-Weir-type dual problems and examine duality relations under geodesic convexity assumptions.

引用

页码：2191 / 2219

页数：29

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