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Some results on generalized equilibrium problems involving a family of nonexpansive mappings |
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| Authors: | Xiaolong Qin |
| Institution: | a Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China b Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea c Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea |
| Abstract: | In this paper, we introduce an iterative method for finding a common element in the solution set of generalized equilibrium problems, in the solution set of variational inequalities and in the common fixed point set of a family of nonexpansive mappings. Strong convergence theorems are established in the framework of Hilbert spaces. |
| Keywords: | Equilibrium problem Fixed point Nonexpansive mapping Variational inequality |
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