Research Article
Open Access
An explicit construction of sunny nonexpansive retractions in Banach spaces
- Arkady Aleyner1Email author and
- Simeon Reich1
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, Haifa, Israel
Copyright
© Aleyner and Reich 2005
