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Some remarks on the location of fixed points

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

Michael Edelstein  and
Daryl Tingley
Michael Edelstein
Affiliation:
Department of Mathematics, Statistics and Computing Science Dalhousie UniversityHalifax, N. S. B3H 4H8, Canada
Daryl Tingley
Affiliation:
Department of Mathematics, Statistics and Computing Science Dalhousie UniversityHalifax, N. S. B3H 4H8, Canada
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Abstract

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Several procedures for locating fixed points of nonexpansive selfmaps of a weakly compact convex subset of a Banach space are presented. Some of the results involve the notion of an asymptotic center or a Chebyshev center.

MSC classification

Secondary: 47H09: Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc. 47H10: Fixed-point theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 3 , December 1984 , pp. 358 - 365
Copyright
Copyright © Australian Mathematical Society 1984

References

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