Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces |
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Authors: | Jean-Philippe Chancelier |
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Institution: | Université Paris-Est, CERMICS, École des Ponts, Champs sur Marne, 77455 Marne la Vallée Cedex 2, France |
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Abstract: | Let X be a real Banach space with a normalized duality mapping uniformly norm-to-weak? continuous on bounded sets or a reflexive Banach space which admits a weakly continuous duality mapping JΦ with gauge ?. Let f be an α-contraction and {Tn} a sequence of nonexpansive mappings, we study the strong convergence of explicit iterative schemes |
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Keywords: | Nonexpansive mappings Viscosity approximation Fixed point Meir-Keeler contraction |
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