An Implicit Iteration Method for Variational Inequalities over the Set of Common Fixed Points for a Finite Family of Nonexpansive Mappings in Hilbert Spaces

Fixexd point theory and applications

NguyenThi Quynh Anh¹  Nguyen Buong² 

[1] Department of Information Technology, Thai Nguyen National University, Thainguye, Vietnam;Vietnamese Academy of Science and Technology, Institute of Information Technology, Ha Noi, Vietnam

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

DOI  :  10.1155/2011/276859

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed points for a finite family of nonexpansive mappings on Hilbert spaces.

【 授权许可】

CC BY