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Proceedings of the American Mathematical Society
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
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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PII: S 0002-9939(1974)0346608-8
Keywords: Iteration, nonexpansive mappings, fixed point theorems, demicompact mappings
Article copyright: © Copyright 1974 American Mathematical Society

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