Strong Convergence Theorem for a New General System of Variational Inequalities in Banach Spaces

Fixexd point theory and applications

S Suantai¹  S Imnang² 

[1] Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;Department of Mathematics, Faculty of Science, Thaksin University, Phatthalung, Thailand

关键词: Banach Space;    Variational Inequality;    Nonexpansive Mapping;    Variational Inequality Problem;    Real Banach Space;   

DOI  :  10.1155/2010/246808

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for finding a solution of the system of variational inequalities in Banach spaces. Our main result extends a recent result acheived by Yao, Noor, Noor, Liou, and Yaqoob.

【 授权许可】

CC BY