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...

Full description

Saved in:
Bibliographic Details
Main Authors: Kaewkhao A., Sokhuma K.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-79251607995&partnerID=40&md5=99cdf66eacd8b7ea11e9c43994f9fbb4
http://cmuir.cmu.ac.th/handle/6653943832/6144
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
Language: English
id th-cmuir.6653943832-6144
record_format dspace
spelling th-cmuir.6653943832-61442014-08-30T03:23:53Z Remarks on asymptotic centers and fixed points Kaewkhao A. Sokhuma K. 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. 2014-08-30T03:23:53Z 2014-08-30T03:23:53Z 2010 Article 10853375 10.1155/2010/247402 http://www.scopus.com/inward/record.url?eid=2-s2.0-79251607995&partnerID=40&md5=99cdf66eacd8b7ea11e9c43994f9fbb4 http://cmuir.cmu.ac.th/handle/6653943832/6144 English
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
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 Article
author Kaewkhao A.
Sokhuma K.
spellingShingle Kaewkhao A.
Sokhuma K.
Remarks on asymptotic centers and fixed points
author_facet Kaewkhao A.
Sokhuma K.
author_sort Kaewkhao A.
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 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-79251607995&partnerID=40&md5=99cdf66eacd8b7ea11e9c43994f9fbb4
http://cmuir.cmu.ac.th/handle/6653943832/6144
_version_ 1681420558610202624