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.
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页码：2191 / 2219
页数：29
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