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Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems |
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| Authors: | Xiaolong Qin Meijuan Shang Yongfu Su |
| Institution: | aDepartment of Mathematics and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea;bDepartment of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China;cDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China |
| 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. |
| Keywords: | Nonexpansive mapping Viscosity approximation method Equilibrium problem Fixed point |
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