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An explicit construction of sunny nonexpansive retractions in Banach spaces

Abstract

An explicit algorithmic scheme for constructing the unique sunny nonexpansive retraction onto the common fixed point set of a nonlinear semigroup of nonexpansive mappings in a Banach space is analyzed and a proof of convergence is given.

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Correspondence to Arkady Aleyner.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Aleyner, A., Reich, S. An explicit construction of sunny nonexpansive retractions in Banach spaces. Fixed Point Theory Appl 2005, 675365 (2005). https://doi.org/10.1155/FPTA.2005.295

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  • DOI: https://doi.org/10.1155/FPTA.2005.295