Generalized variational-like inequalities with nonmonotone set-valued mappings

被引：6

作者：

Ding, XP ^{[1
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 95卷 / 03期

关键词：

generalized variational-like inequalities; 0-diagonally quasiconcave relations; nonmonotone mappings; locally convex topological vector spaces;

D O I：

10.1023/A:1022673922484

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 a new class of generalized variational-like inequalities involving a nonmonotone-type set-valued mapping which is more general than those in the known literature. By applying a KKM-type theorem established by the author, some existence theorems for the solutions to the class of generalized variational-like inequalities are proved in Hausdorff locally convex topological vector spaces.

引用

页码：601 / 613

页数：13

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