A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem
1 Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende (CS), Italy
2 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Fixed Point Theory and Applications 2010, 2010:383740 doi:10.1155/2010/383740Published: 1 November 2009
We propose a modified hybrid projection algorithm to approximate a common fixed point of a -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.