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Fixed Point Theory and Applications 
Volume 2005 (2005), Issue 3, Pages 295-305
doi:10.1155/FPTA.2005.295

An explicit construction of sunny nonexpansive retractions in Banach spaces

Arkady Aleyner and Simeon Reich

Department of Mathematics, The Technion – Israel Institute of Technology, Haifa 32000, Israel

Received 22 March 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.