Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces |
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| Authors: | Wataru Takahashi Kei Zembayashi |
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| Institution: | Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 152-8552, Japan |
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| Abstract: | In this paper, we introduce two iterative sequences for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach space. Then we study the strong and weak convergence of the sequences. |
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| Keywords: | 47H05 47J25 |
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