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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A fixed point theorem for locally nonexpansive mappings in normed spaces


Author: C. Waters
Journal: Proc. Amer. Math. Soc. 97 (1986), 695-699
MSC: Primary 47H10
DOI: https://doi.org/10.1090/S0002-9939-1986-0845990-0
MathSciNet review: 845990
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Abstract: It is shown that global conditions in a recent result of W. A. Kirk can be replaced with the corresponding local conditions in case the domain is connected. Also a remark is made about the proof of the theorem referenced.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0845990-0
Keywords: Locally contractive, locally nonexpansive, chainable
Article copyright: © Copyright 1986 American Mathematical Society