Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces

© 2019 by the Mathematical Association of Thailand. All rights reserved. We show that a condition on mappings introduced by Bunlue and Suantai is weaker than the notion of nonexpansive mappings and stronger than the notion of quasi-nonexpansive mappings. We also obtain the demiclosed principle as we...

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Main Authors:	Chayanit Klangpraphan, Bancha Panyanak
Format:	Journal
Published:	2020
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073343192&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67903
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-67903
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spelling	th-cmuir.6653943832-679032020-04-02T15:10:38Z Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces Chayanit Klangpraphan Bancha Panyanak Mathematics © 2019 by the Mathematical Association of Thailand. All rights reserved. We show that a condition on mappings introduced by Bunlue and Suantai is weaker than the notion of nonexpansive mappings and stronger than the notion of quasi-nonexpansive mappings. We also obtain the demiclosed principle as well as a fixed point theorem for the class of mappings satisfying this condition. A convergence theorem of the Ishikawa iteration for discontinuous quasi-nonexpansive mappings is also given. 2020-04-02T15:10:38Z 2020-04-02T15:10:38Z 2019-08-01 Journal 16860209 2-s2.0-85073343192 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073343192&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67903
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Chayanit Klangpraphan Bancha Panyanak Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces
description	© 2019 by the Mathematical Association of Thailand. All rights reserved. We show that a condition on mappings introduced by Bunlue and Suantai is weaker than the notion of nonexpansive mappings and stronger than the notion of quasi-nonexpansive mappings. We also obtain the demiclosed principle as well as a fixed point theorem for the class of mappings satisfying this condition. A convergence theorem of the Ishikawa iteration for discontinuous quasi-nonexpansive mappings is also given.
format	Journal
author	Chayanit Klangpraphan Bancha Panyanak
author_facet	Chayanit Klangpraphan Bancha Panyanak
author_sort	Chayanit Klangpraphan
title	Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces
title_short	Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces
title_full	Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces
title_fullStr	Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces
title_full_unstemmed	Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces
title_sort	fixed point theorems for some generalized multi-valued nonexpansive mappings in hadamard spaces
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073343192&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67903
_version_	1681426721193066496

Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces

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