Solving variational inequalities in Banach spaces

被引：0
|
作者：
Li, Jinlu [1 ]
机构：
[1] Shawnee State Univ, Dept Math Sci, Portsmouth, OH 45662 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期
关键词：
Generalized projection operator; Variational inequality; Complementarity problem; Leray-Schauder-type alternative theorem; Fixed point;
D O I：
10.1016/j.na.2004.12.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of solutions of variational inequalities and complementarity problems in a reflexive, strictly convex and smooth Banach space by using the generalized projection operator pi(K) : B* -> K, where B is a reflexive, strictly convex and smooth Banach space with the dual space B* and K is a nonempty, closed and convex subset of B. (C) 2005 Elsevier Ltd. All rights reserved.
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页码：E1803 / E1808
页数：6
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