A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces

© 2017 Iranian Mathematical Society. In this paper, we propose a new one-step iterative process for a countable family of quasi-nonexpansive multi-valued mappings in a CAT(0) space. We also prove strong and Delta-convergence theorems of the proposed iterative process under some control conditions. O...

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Main Authors:	Suthep Suantai, Bancha Panyanak, Withun Phuengrattana
Format:	Journal
Published:	2018
Subjects:	Mathematics Agricultural and Biological Sciences Arts and Humanities
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85034571646&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43604
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-43604
record_format	dspace
spelling	th-cmuir.6653943832-436042018-04-25T07:37:51Z A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces Suthep Suantai Bancha Panyanak Withun Phuengrattana Mathematics Agricultural and Biological Sciences Arts and Humanities © 2017 Iranian Mathematical Society. In this paper, we propose a new one-step iterative process for a countable family of quasi-nonexpansive multi-valued mappings in a CAT(0) space. We also prove strong and Delta-convergence theorems of the proposed iterative process under some control conditions. Our main results extend and generalize many results in the literature. 2018-01-24T03:50:41Z 2018-01-24T03:50:41Z 2017-10-01 Journal 1017060X 10186301 2-s2.0-85034571646 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85034571646&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43604
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics Agricultural and Biological Sciences Arts and Humanities
spellingShingle	Mathematics Agricultural and Biological Sciences Arts and Humanities Suthep Suantai Bancha Panyanak Withun Phuengrattana A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces
description	© 2017 Iranian Mathematical Society. In this paper, we propose a new one-step iterative process for a countable family of quasi-nonexpansive multi-valued mappings in a CAT(0) space. We also prove strong and Delta-convergence theorems of the proposed iterative process under some control conditions. Our main results extend and generalize many results in the literature.
format	Journal
author	Suthep Suantai Bancha Panyanak Withun Phuengrattana
author_facet	Suthep Suantai Bancha Panyanak Withun Phuengrattana
author_sort	Suthep Suantai
title	A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces
title_short	A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces
title_full	A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces
title_fullStr	A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces
title_full_unstemmed	A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces
title_sort	new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in cat(0) spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85034571646&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43604
_version_	1681422404044193792

A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces

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