Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping

被引：15

作者：

Wang, S. H. ^{[1
,2
]}

Fu, J. Y. ^{[2
]}

机构：

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

[2] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2009年 / 44卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized vector quasi-equilibrium problem; Set-valued mapping; Continuous selection; Fixed point; C-convexity; VARIATIONAL-INEQUALITIES; BANACH-SPACES; EXISTENCE; THEOREM;

D O I：

10.1007/s10898-008-9309-7

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, the solvability of Stampacchia generalized vector quasi-equilibrium problem (in short, GVQEP) with set-valued mapping is studied. By using continuous selection theorem and fixed point theorems, some existence theorems for (GVQEP) are obtained without any monotonicity assumption. These theorems unify and improve some results in the recent references.

引用

页码：99 / 110

页数：12

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