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Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces |
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| Authors: | Congjun Zhang Jinlu Li Baoqing Liu |
| Affiliation: | 1. College of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210046, PR China;2. Department of Mathematics, Shawnee State University, 940 Second Street, Portsmouth, OH 45662, USA;3. Institute of Mathematics, Nanjing Normal University, Nanjing, 210046, PR China |
| Abstract: | The purpose of the paper is to introduce modified Halpern and Ishikawa iteration 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 Banach spaces. We also consider two strong convergence theorems for relatively nonexpansive mappings with some proper restriction. |
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