Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems

Authors:
Xiaolong Qin;Meijuan Shang;Yongfu Su
Affiliations:
Department of Mathematics and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea;Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China;Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

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Abstract

The purpose of this paper is to study the strong convergence of a general iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variation inequalities for a relaxed cocoercive mapping and the set of solutions of an equilibrium problem. Our results extend recent results announced by many others.