On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints

被引：0

作者：

Wang, Haijun ^{[1
]}

Kang, Gege ^{[1
]}

Zhang, Ruifang ^{[1
]}

机构：

[1] Taiyuan Normal Univ, Sch Math & Stat, Jinzhong 030619, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 08期

关键词：

multiobjective fractional optimization; vanishing constraint; locally Lipschitz function; duality theorems;

D O I：

10.3934/era.2024235

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to investigate the optimality conditions for a class of nonsmooth multiobjective fractional optimization problems subject to vanishing constraints. In particular, necessary and sufficient conditions for (weak) Pareto solution are presented in terms of the Clark subdifferential. Furthermore, we construct Wolfe and Mond-Weir-type dual models and derive some duality theorems by using generalized quasiconvexity assumptions. Some examples to show the validity of our conclusions are provided.

引用

页码：5109 / 5126

页数：18

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