Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Existence of a fixed point for nonexpansive mappings with closed values


Author: J. T. Markin
Journal: Proc. Amer. Math. Soc. 59 (1976), 255-259
MSC: Primary 47H10
MathSciNet review: 0420349
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Fixed point existence and fixed point stability results are presented for nonexpansive mappings of a Banach space $ B$ into the family of nonempty closed bounded convex subsets of $ B$, where $ B$ is assumed separable, strictly convex, and reflexive with a weakly continuous duality mapping.


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


Similar Articles

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

Retrieve articles in all journals with MSC: 47H10


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0420349-2
PII: S 0002-9939(1976)0420349-2
Keywords: Fixed point, set valued map, monotone map
Article copyright: © Copyright 1976 American Mathematical Society