Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 383740, 19 pages
doi:10.1155/2010/383740
A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem
Filomena Cianciaruso1
, Giuseppe Marino1
, Luigi Muglia1
and Yonghong Yao4
1Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende (CS), Italy
4Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Abstract
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.