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THE FAILURE OF THE FIXED POINT PROPERTY FOR UNBOUNDED SETS IN c0.

Authors :
Benavides, T. Domínguez
Source :
Proceedings of the American Mathematical Society. Feb2012, Vol. 140 Issue 2, p645-650. 6p.
Publication Year :
2012

Abstract

In this paper we prove that for every unbounded convex closed set C in c0 there exists a nonexpansive mapping T : C → C which is fixed point free. This result solves in a negative sense a question that has remained open for some time in Metric Fixed Point Theory. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CONVEX functions
*REAL variables
*MATHEMATICAL mappings
*MATHEMATICAL functions
*TOPOLOGY

Details

Language :
English
ISSN :
00029939
Volume :
140
Issue :
2
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
67446783
Full Text :
https://doi.org/10.1090/S0002-9939-2011-10938-9
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