Degree theory for a generalized set-valued variational inequality with an application in Banach spaces

被引：10

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：

JOURNAL OF GLOBAL OPTIMIZATION | 2011年 / 49卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Generalized set-valued variational inequality; Topological degree; Generalized f-projection operator; Normalized duality mapping; Set-valued mapping; PROJECTION OPERATOR; MAPPINGS;

D O I：

10.1007/s10898-010-9547-3

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, a degree theory for a generalized set-valued variational inequality is built in a Banach space. As an application, an existence result of solutions for the generalized set-valued variational inequality is given under some suitable conditions.

引用

页码：343 / 357

页数：15

共 50 条

[1] Degree theory for a generalized set-valued variational inequality with an application in Banach spaces
Zhong Bao Wang
Nan Jing Huang
[J]. Journal of Global Optimization, 2011, 49 : 343 - 357
[2] Exceptional family of elements for a generalized set-valued variational inequality in Banach spaces
Wang, Zhong-Bao
Huang, Nan-Jing
[J]. OPTIMIZATION, 2014, 63 (02) : 167 - 180
[3] Generalized set-valued variational inclusions in Banach spaces
Chang, SS
Cho, YJ
Lee, BS
Jung, IH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (02) : 409 - 422
[4] A new class of generalized set-valued implicit variational inclusions in Banach spaces with an application
Huang, NJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (7-8) : 937 - 943
[5] Generalized set-valued strongly nonlinear variational inequalities in Banach spaces
Cho, YJ
Fang, YP
Huang, NJ
Kim, KH
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2003, 40 (02) : 195 - 205
[6] Generalized set-valued variational inclusions and resolvent equations in Banach spaces
Jeong, JU
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (8-9) : 1241 - 1247
[7] Set-valued variational inclusions in Banach spaces
Chang, SS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 248 (02) : 438 - 454
[8] Degree Theory and Solution Existence of Set-Valued Vector Variational Inequalities in Reflexive Banach Spaces
Zhong, Ren-you
Dou, Zhen
Fan, Jiang-hua
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 167 (02) : 527 - 549
[9] Degree Theory and Solution Existence of Set-Valued Vector Variational Inequalities in Reflexive Banach Spaces
Ren-you Zhong
Zhen Dou
Jiang-hua Fan
[J]. Journal of Optimization Theory and Applications, 2015, 167 : 527 - 549
[10] System of Set-Valued Nonlinear Generalized Variational Inclusion Problems in Banach Spaces
Shafi, Sumeera
[J]. JOURNAL OF MATHEMATICAL STUDY, 2023, 56 (03) : 309 - 326

← 1 2 3 4 5 →