An approximation of a common fixed point of nonexpansive mappings on convex metric spaces

Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping...

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Main Authors:	W. Anakkamatee, S. Dhompongsa
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84873051012&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51778
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-51778
record_format	dspace
spelling	th-cmuir.6653943832-517782018-09-04T06:08:49Z An approximation of a common fixed point of nonexpansive mappings on convex metric spaces W. Anakkamatee S. Dhompongsa Mathematics Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping to a countable number of mappings and, at the same time, we extend the underlying spaces to strictly convex Banach spaces. The corresponding results are also obtained for the CAT(0) space setting. © 2012 Anakkamatee and Dhompongsa; licensee Springer. 2018-09-04T06:08:49Z 2018-09-04T06:08:49Z 2012-12-01 Journal 16871812 16871820 2-s2.0-84873051012 10.1186/1687-1812-2012-112 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84873051012&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51778
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics W. Anakkamatee S. Dhompongsa An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
description	Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping to a countable number of mappings and, at the same time, we extend the underlying spaces to strictly convex Banach spaces. The corresponding results are also obtained for the CAT(0) space setting. © 2012 Anakkamatee and Dhompongsa; licensee Springer.
format	Journal
author	W. Anakkamatee S. Dhompongsa
author_facet	W. Anakkamatee S. Dhompongsa
author_sort	W. Anakkamatee
title	An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
title_short	An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
title_full	An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
title_fullStr	An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
title_full_unstemmed	An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
title_sort	approximation of a common fixed point of nonexpansive mappings on convex metric spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84873051012&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51778
_version_	1681423831325999104

An approximation of a common fixed point of nonexpansive mappings on convex metric spaces

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