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