Remarks on asymptotic centers and fixed points

We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point...

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Main Authors:	A. Kaewkhao, K. Sokhuma
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79251607995&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50977
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-50977
record_format	dspace
spelling	th-cmuir.6653943832-509772018-09-04T04:49:11Z Remarks on asymptotic centers and fixed points A. Kaewkhao K. Sokhuma Mathematics We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point property for this type of mappings. Copyright © 2010 A. Kaewkhao and K. Sokhuma. 2018-09-04T04:49:11Z 2018-09-04T04:49:11Z 2010-12-01 Journal 16870409 10853375 2-s2.0-79251607995 10.1155/2010/247402 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79251607995&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50977
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics A. Kaewkhao K. Sokhuma Remarks on asymptotic centers and fixed points
description	We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point property for this type of mappings. Copyright © 2010 A. Kaewkhao and K. Sokhuma.
format	Journal
author	A. Kaewkhao K. Sokhuma
author_facet	A. Kaewkhao K. Sokhuma
author_sort	A. Kaewkhao
title	Remarks on asymptotic centers and fixed points
title_short	Remarks on asymptotic centers and fixed points
title_full	Remarks on asymptotic centers and fixed points
title_fullStr	Remarks on asymptotic centers and fixed points
title_full_unstemmed	Remarks on asymptotic centers and fixed points
title_sort	remarks on asymptotic centers and fixed points
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79251607995&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50977
_version_	1681423686689619968

Remarks on asymptotic centers and fixed points

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