Order-preservation of solution correspondence for parametric generalized variational inequalities on Banach lattices

被引：6

作者：

Wang, Yuehu ^{[1
]}

Zhang, Congjun ^{[2
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Management Sci & Engn, Nanjing 210023, Jiangsu, Peoples R China

[2] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Jiangsu, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

order-theoretic fixed point; order-preservation; parametric generalized variational inequalities; equilibrium problems; Banach lattices; POINT THEOREM; EQUILIBRIUM; STABILITY; SPACES; PRINCIPLE;

D O I：

10.1186/s13663-015-0360-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, several order-theoretic fixed point theorems are proved on Banach lattices. As applications of these fixed point theorems, we study the order-preservation of solution correspondence for parametric generalized variational inequalities. Furthermore, the existence of solutions to equilibrium problems is also examined. Our approach is order-theoretic and all results obtained in this paper do not require the considered mappings to be continuous or semi-continuous with respect to any topology equipped on the underlying space.

引用

页数：16

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