Remarks on the stability of the fixed point property for nonexpansive mappings

It is shown that in many instances the fixed point property for nonexpansive mappings actually implies the fixed point property for a strictly larger family of mappings. This paper is largely expository, but some of the observations are not readily available, and some appear here for the first time....

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Bibliographic Details
Published in:Arabian journal of mathematics 2012-12, Vol.1 (4), p.417-430
Main Authors: Bolibok, Krzysztof, Goebel, Kazimierz, Kirk, W. A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Research Article
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Summary:It is shown that in many instances the fixed point property for nonexpansive mappings actually implies the fixed point property for a strictly larger family of mappings. This paper is largely expository, but some of the observations are not readily available, and some appear here for the first time. Several related open questions in are discussed. The emphasis is on accessible problems, especially those that require little background. The problems themselves have been given little thought and may be trivial or difficult.
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-012-0053-y