Existence Theorems for Variational Inequalities in Banach Spaces

被引：0

作者：

L. C. Zeng

J. C. Yao

机构：

[1] Shanghai Normal University,Department of Mathematics

[2] National Sun Yat-Sen University,Department of Applied Mathematics

来源：

Journal of Optimization Theory and Applications | 2007年 / 132卷

关键词：

Variational inequalities; generalized projection operators; KKM theorem; fixed points; Banach spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, by employing the notion of generalized projection operators and the well-known Fan’s lemma, we establish some existence results for the variational inequality problem and the quasivariational inequality problem in reflexive, strictly convex, and smooth Banach spaces. We propose also an iterative method for approximate solutions of the variational inequality problem and we establish some convergence results for this iterative method.

引用

页码：321 / 337

页数：16

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