Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces

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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. © 2006 Elsevier Inc. All rights reserved.

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Maingé, P. E. (2007). Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces. Journal of Mathematical Analysis and Applications, 325(1), 469–479. https://doi.org/10.1016/j.jmaa.2005.12.066

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