Fixed Point Theory and Applications

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Research Article
Open Access

An explicit construction of sunny nonexpansive retractions in Banach spaces

Fixed Point Theory and Applications20052005:675365

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

©  Aleyner and Reich 2005

Received: 22 March 2005

Published: 25 October 2005

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.

Authors’ Affiliations

(1)
Department of Mathematics, The Technion – Israel Institute of Technology

Copyright

© Aleyner and Reich 2005