Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems

被引：6

作者：

Wu, Xin-kun ^{[1
]}

Chen, Jia-wei ^{[2
]}

Zou, Yun-zhi ^{[1
]}

机构：

[1] Sichuan Univ, Coll Math, Chengdu 610064, Sichuan, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2011年

基金：

中国国家自然科学基金;

关键词：

VECTOR; EXISTENCE;

D O I：

10.1155/2011/647489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is established under some suitable conditions. Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem.

引用

页数：16

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