A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems

作者:Yao, Yonghong; Liou, Yeong Cheng; Yao, Jen Chih*
来源:Fixed Point Theory and Applications, 2008, 2008(1): 417089.
DOI:10.1155/2008/417089

摘要

We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a mixed equilibrium problem. This study, proves a strong convergence theorem by the proposed hybrid iterative algorithm which solves fixed-point problems, variational inequality problems, and mixed equilibrium problems.