Variational-like inequalities with generalized monotone mappings in Banach spaces

被引：122

作者：

Fang, YP ^{[1
]}

Huang, NJ ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 118卷 / 02期

关键词：

variational-like inequalities; generalized monotone mappings; KKM mappings; eta-hemicontinuity; eta-coercivity;

D O I：

10.1023/A:1025499305742

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce two classes of variational-like inequalities with generalized monotone mappings in Banach spaces. Using the KKM technique, we obtain the existence of solutions for variational-like inequalities with relaxed eta-alpha monotone mappings in reflexive Banach spaces. We present also the solvability of variational-like inequalities with relaxed eta-alpha semimonotone mappings in arbitrary Banach spaces by means of the Kakutani-Fan-Glicksberg fixed-point theorem. The results presented in this paper extend and improve the corresponding results of Refs. 1-6.

引用

页码：327 / 338

页数：12

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