Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces


Author: W. A. Kirk
Journal: Proc. Amer. Math. Soc. 107 (1989), 411-415
MSC: Primary 47H10; Secondary 47H09
DOI: https://doi.org/10.1090/S0002-9939-1989-0941325-6
MathSciNet review: 941325
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A uniform transfinite iteration procedure for selecting fixed points of nonexpansive mappings is introduced. This procedure, which applies to arbitrary nonexpansive mappings in Banach spaces having Kadec-Klee norm and to strictly contractive mappings in reflexive Banach spaces, is used to generalize a fixed point theorem of Kirk and Sternfeld for nonexpansive mappings in product spaces.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47H10, 47H09

Retrieve articles in all journals with MSC: 47H10, 47H09


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0941325-6
Keywords: Nonexpansive mappings, fixed points, product spaces
Article copyright: © Copyright 1989 American Mathematical Society