On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces

We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk's convergence theorem on CAT(0) spaces. The theorem properly contains a result of Jung for Hilbert spaces. We then apply the result to approximate a common fixed point of a countable family of single...

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Main Authors:	S. Dhompongsa, A. Kaewkhao, B. Panyanak
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80054973435&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51811
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-51811
record_format	dspace
spelling	th-cmuir.6653943832-518112018-09-04T06:09:32Z On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces S. Dhompongsa A. Kaewkhao B. Panyanak Mathematics We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk's convergence theorem on CAT(0) spaces. The theorem properly contains a result of Jung for Hilbert spaces. We then apply the result to approximate a common fixed point of a countable family of single-valued nonexpansive mappings and a compact valued nonexpansive mapping. © 2011 Elsevier Ltd. All rights reserved. 2018-09-04T06:09:32Z 2018-09-04T06:09:32Z 2012-01-01 Journal 0362546X 2-s2.0-80054973435 10.1016/j.na.2011.08.046 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80054973435&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51811
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics S. Dhompongsa A. Kaewkhao B. Panyanak On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces
description	We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk's convergence theorem on CAT(0) spaces. The theorem properly contains a result of Jung for Hilbert spaces. We then apply the result to approximate a common fixed point of a countable family of single-valued nonexpansive mappings and a compact valued nonexpansive mapping. © 2011 Elsevier Ltd. All rights reserved.
format	Journal
author	S. Dhompongsa A. Kaewkhao B. Panyanak
author_facet	S. Dhompongsa A. Kaewkhao B. Panyanak
author_sort	S. Dhompongsa
title	On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces
title_short	On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces
title_full	On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces
title_fullStr	On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces
title_full_unstemmed	On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces
title_sort	on kirk's strong convergence theorem for multivalued nonexpansive mappings on cat(0) spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80054973435&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51811
_version_	1681423837217947648

On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces

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