Open Access

An explicit construction of sunny nonexpansive retractions in Banach spaces

Fixed Point Theory and Applications20052005:675365

Received: 22 March 2005

Published: 25 October 2005


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

Department of Mathematics, The Technion – Israel Institute of Technology


© Aleyner and Reich 2005