Exceptional family of elements for a generalized set-valued variational inequality in Banach spaces

被引：3

作者：

Wang, Zhong-Bao ^{[1
]}

Huang, Nan-Jing ^{[1
]}

机构：

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

来源：

OPTIMIZATION | 2014年 / 63卷 / 02期

基金：

中国国家自然科学基金;

关键词：

generalized set-valued variational inequality; degree theory; exceptional family of elements; normalized duality mapping; set-valued mapping; COMPLEMENTARITY-PROBLEMS; COERCIVITY CONDITIONS; PROJECTION OPERATOR; SOLVABILITY; MAPPINGS;

D O I：

10.1080/02331934.2011.625030

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：

This article introduces a new concept of an exceptional family of elements for a generalized set-valued variational inequality in Banach spaces. By using this concept and the degree theory for the generalized set-valued variational inequality introduced by Wang and Huang [Zh.B. Wang and N.J. Huang, Degree theory for a generalized set-valued variational inequality with an application in Banach spaces, J. Glob. Optim. 49 (2011), pp. 343-357], some solvability results for the generalized set-valued variational inequality and its special cases are given in Banach spaces under suitable conditions.

引用

页码：167 / 180

页数：14

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