Convergence of an implicit algorithm for two families of nonexpansive mappings |
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Authors: | Safeer Hussain Khan Isa Yildirim Murat Ozdemir |
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Affiliation: | 1. Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar;2. Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey |
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Abstract: | In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results. |
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