On Vector Variational Inequalities in Reflexive Banach Spaces

被引：0

作者：

Nan-Jing Huang

Ya-Ping Fang

机构：

[1] Sichuan University,Department of Mathematics

来源：

Journal of Global Optimization | 2005年 / 32卷

关键词：

Brouwer fixed point theorem; complete continuity; KKM-Fan lemma; KKM mapping; vector variational inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the solvability for a class of vector variational inequalities in reflexive Banach spaces. By using Brouwer fixed point theorem, we prove the solvability for this class of vector variational inequalities without monotonicity assumption. The solvability results for this class of vector variational inequalities with monotone mappings are also presented by using the KKM-Fan lemma

引用

页码：495 / 505

页数：10

共 50 条

[1] On vector variational inequalities in reflexive Banach spaces
Huang, NJ
Fang, YP
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2005, 32 (04) : 495 - 505
[2] Existence of Solutions of Generalized Vector Variational Inequalities in Reflexive Banach Spaces
Lu-Chuan Zeng
Jen-Chih Yao
[J]. Journal of Global Optimization, 2006, 36 : 483 - 497
[3] Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces
Zeng, Lu-Chuan
Yao, Jen-Chih
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2006, 36 (04) : 483 - 497
[4] Lower Semicontinuity for Parametric Weak Vector Variational Inequalities in Reflexive Banach Spaces
Ren-you Zhong
Nan-jing Huang
[J]. Journal of Optimization Theory and Applications, 2011, 150 : 317 - 326
[5] Lower Semicontinuity for Parametric Weak Vector Variational Inequalities in Reflexive Banach Spaces
Zhong, Ren-you
Huang, Nan-jing
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 149 (03) : 564 - 579
[6] Lower Semicontinuity for Parametric Weak Vector Variational Inequalities in Reflexive Banach Spaces
Ren-you Zhong
Nan-jing Huang
[J]. Journal of Optimization Theory and Applications, 2011, 149 : 564 - 579
[7] Lower Semicontinuity for Parametric Weak Vector Variational Inequalities in Reflexive Banach Spaces
Zhong, Ren-you
Huang, Nan-jing
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (02) : 317 - 326
[8] Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces
Yi Ran He
Xiu Zhen Mao
Mi Zhou
[J]. Acta Mathematica Sinica, English Series, 2007, 23 : 563 - 570
[9] Strict feasibility of variational inequalities in reflexive Banach spaces
He, Yi Ran
Mao, Xiu Zhen
Zhou, Mi
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (03) : 563 - 570
[10] Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces
Yi Ran HE Xiu Zhen MAO Mi ZHOU Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2007, 23 (03) : 563 - 570

← 1 2 3 4 5 →