On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces

© 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our...

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Main Authors:	Raweerote Suparatulatorn, Prasit Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84989246664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46715
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-46715
record_format	dspace
spelling	th-cmuir.6653943832-467152018-04-25T07:28:47Z On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces Raweerote Suparatulatorn Prasit Cholamjiak Suthep Suantai Mathematics Agricultural and Biological Sciences © 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature. 2018-04-25T06:59:49Z 2018-04-25T06:59:49Z 2017-01-02 Journal 10294937 10556788 2-s2.0-84989246664 10.1080/10556788.2016.1219908 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84989246664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46715
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics Agricultural and Biological Sciences
spellingShingle	Mathematics Agricultural and Biological Sciences Raweerote Suparatulatorn Prasit Cholamjiak Suthep Suantai On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
description	© 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature.
format	Journal
author	Raweerote Suparatulatorn Prasit Cholamjiak Suthep Suantai
author_facet	Raweerote Suparatulatorn Prasit Cholamjiak Suthep Suantai
author_sort	Raweerote Suparatulatorn
title	On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
title_short	On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
title_full	On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
title_fullStr	On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
title_full_unstemmed	On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
title_sort	on solving the minimization problem and the fixed-point problem for nonexpansive mappings in cat(0) spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84989246664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46715
_version_	1681422925763182592

On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces

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