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Proceedings of the American Mathematical Society

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

 

 

Approximating fixed points of nonexpansive mappings


Authors: H. F. Senter and W. G. Dotson
Journal: Proc. Amer. Math. Soc. 44 (1974), 375-380
MSC: Primary 47H10
DOI: https://doi.org/10.1090/S0002-9939-1974-0346608-8
MathSciNet review: 0346608
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Abstract: A condition is given for nonexpansive mappings which assures convergence of certain iterates to a fixed point of the mapping in a uniformly convex Banach space. A relationship between the given condition and the requirement of demicompactness is established.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0346608-8
Keywords: Iteration, nonexpansive mappings, fixed point theorems, demicompact mappings
Article copyright: © Copyright 1974 American Mathematical Society