Homeomorphic optimality conditions and duality for semi-infinite programming on smooth manifolds

被引：0

作者：

TUNG L.T. ^{[1
]}

TAM D.H. ^{[1
]}

机构：

[1] Department of Mathematics, College of Natural Sciences, Can Tho University, Can Tho

来源：

Journal of Nonlinear Functional Analysis | 2021年 / 2021卷 / 01期

关键词：

Karush-Kuhn-Tucker optimality conditions; Mond-Weir duality; Semi-infinite programming; Smooth manifolds; Wolfe duality;

D O I：

10.23952/JNFA.2021.18

中图分类号：

学科分类号：

摘要：

In this paper, we explore the semi-infinite programming on smooth manifolds. We first discuss the optimality conditions for semi-infinite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems. Further, we present Lagrange, Mond-Weir, andWolfe type duality for the semi-infinite programming on manifolds, and examine weak and strong duality relations under the j-1-convexity assumption. © 2021 Journal of Nonlinear Functional Analysis.

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