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arxiv: 1410.4020 · v1 · pith:YCCXT2JFnew · submitted 2014-10-15 · 🧮 math.FA

Strong convergence theorems by a new hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces

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keywords banachequilibriummappingsnonexpansiverelativelyresultscommonconvergence
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In this paper, we introduce a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in a Banach space. Our results generalize, extend and enrich some existing results in the literature.

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