Existence of Solutions and Algorithm for a System of Variational Inequalities

Fixexd point theory and applications

Liping Pang¹  Liwei Zhang¹  Zunquan Xia¹  Yali Zhao² 

[1] Department of Applied Mathematics, Dalian University of Technology, Dalian, China;Department of Mathematics, Bohai University, Jinzhou, China

关键词: Banach Space;    Unique Solution;    Variational Inequality;    Convex Subset;    Iterative Algorithm;   

DOI  :  10.1155/2010/182539

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We obtain some existence results for a system of variational inequalities (for short, denoted by SVI) by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an iterative algorithm and analysis convergence of the algorithm.

【 授权许可】

CC BY