A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces

A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces

0.00 Avg rating0 Votes
Article ID: iaor2014774
Volume: 161
Issue: 3
Start Page Number: 716
End Page Number: 727
Publication Date: Jun 2014
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: Hilbert space, mapping, variational relation problems
Abstract:

In the present paper, we propose a simpler explicit iterative algorithm for finding a solution for variational inequalities over the set of common fixed points of a finite family of nonexpansive mappings on Hilbert spaces. A strong convergence theorem is proved under fewer restrictions imposed on the mappings and parameters. An extension and numerical result are also given to illustrate the effectiveness and superiority of the proposed algorithm.

Reviews

Required fields are marked *. Your email address will not be published.