Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces |
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Authors: | Paul-Emile Maingé |
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Institution: | GRIMMAG, Université des Antilles-Guyane, Département Scientifique Interfacultaire, Campus de Schoelcher, 97230 cedex, Martinique |
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Abstract: | The aim of this work is to propose implicit and explicit viscosity-like methods for finding specific common fixed points of infinite countable families of nonexpansive self-mappings in Hilbert spaces. Two numerical approaches to solving this problem are considered: an implicit anchor-like algorithm and a nonimplicit one. The considered methods appear to be of practical interests from the numerical point of view and strong convergence results are proved. |
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Keywords: | Viscosity method Nonexpansive mapping Common fixed point Convex optimization Nearest point projection |
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