Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces |
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| Authors: | Xiaolong Qin Yeol Je Cho Shin Min Kang |
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| Institution: | 1. Department of Mathematics and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea;2. Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea |
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| Abstract: | The purpose of this paper is to introduce hybrid projection algorithms for finding a common element of the set of common fixed points of two quasi-?-nonexpansive mappings and the set of solutions of an equilibrium problem in the framework of Banach spaces. Our results improve and extend the corresponding results announced by many others. |
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| Keywords: | 47H05 47H09 47H10 47J25 65J15 |
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