A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem

作者:Cianciaruso Filomena; Marino Giuseppe*; Muglia Luigi; Yao Yonghong
来源:Fixed Point Theory and Applications, 2010, 383740.
DOI:10.1155/2010/383740

摘要

We propose a modified hybrid projection algorithm to approximate a common fixed point of a k-strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a strong convergence theorem of the proposed method and we obtain, as a particular case, approximation of solutions of systems of two equilibrium problems.