A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces

The purpose of this paper is to prove the existence of a fixed point for a pointwise eventually nonexpansive mapping in a nearly uniformly convex Banach space. This provides an affirmative answer to a question given by Kirk and Xu [W.A. Kirk, Hong-Kun Xu, Asymptotic pointwise contraction, Nonlinear...

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Main Authors: T. Butsan, S. Dhompongsa, W. Takahashi
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/50129
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-501292018-09-04T04:24:46Z A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces T. Butsan S. Dhompongsa W. Takahashi Mathematics The purpose of this paper is to prove the existence of a fixed point for a pointwise eventually nonexpansive mapping in a nearly uniformly convex Banach space. This provides an affirmative answer to a question given by Kirk and Xu [W.A. Kirk, Hong-Kun Xu, Asymptotic pointwise contraction, Nonlinear Anal. 69 (2008), 47064712]. © 2010 Elsevier Ltd. All rights reserved. 2018-09-04T04:24:46Z 2018-09-04T04:24:46Z 2011-03-01 Journal 0362546X 2-s2.0-78651353572 10.1016/j.na.2010.10.041 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78651353572&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50129
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
T. Butsan
S. Dhompongsa
W. Takahashi
A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces
description The purpose of this paper is to prove the existence of a fixed point for a pointwise eventually nonexpansive mapping in a nearly uniformly convex Banach space. This provides an affirmative answer to a question given by Kirk and Xu [W.A. Kirk, Hong-Kun Xu, Asymptotic pointwise contraction, Nonlinear Anal. 69 (2008), 47064712]. © 2010 Elsevier Ltd. All rights reserved.
format Journal
author T. Butsan
S. Dhompongsa
W. Takahashi
author_facet T. Butsan
S. Dhompongsa
W. Takahashi
author_sort T. Butsan
title A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces
title_short A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces
title_full A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces
title_fullStr A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces
title_full_unstemmed A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces
title_sort fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex banach spaces
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78651353572&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50129
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