The Modified Objective Function Method for Univex Multiobjective Variational Problems

被引：0

作者：

Tadeusz Antczak

Anurag Jayswal

Shalini Jha

机构：

[1] University of Lodz,Faculty of Mathematics and Computer Science

[2] Indian Institute of Technology (Indian School of Mines),Department of Applied Mathematics

来源：

Bulletin of the Iranian Mathematical Society | 2019年 / 45卷

关键词：

Multiobjective variational problem; Modified objective function method; Efficient solution; Univexity; Primary 65K10; Secondary 90C29; 90C30; 90C46; 90C26;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we use the modified objective function method for a class of nonconvex multiobjective variational problems involving univex functions. Under univexity hypotheses, we prove the equivalence between an (weakly) efficient solution of the considered multiobjective variational problem and an (weakly) efficient solution of the associated modified multiobjective variational problem constructed in the modified objective function method.

引用

页码：267 / 282

页数：15

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