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: | Zhou Haiyun, Wang Peiyuan |
Keywords: | Hilbert space, mapping, variational relation problems |
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.