Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces

In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the exi...

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Main Authors:	Withun Phuengrattana, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84885921309&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52741
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-52741
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spelling	th-cmuir.6653943832-527412018-09-04T09:31:20Z Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces Withun Phuengrattana Suthep Suantai Mathematics In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the existence of a fixed point of a generalized asymptotically nonexpansive mapping in both uniformly convex hyperbolic spaces and CAT(O) spaces. © Heldermann Verlag. 2018-09-04T09:31:20Z 2018-09-04T09:31:20Z 2013-10-24 Journal 09446532 2-s2.0-84885921309 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84885921309&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52741
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Withun Phuengrattana Suthep Suantai Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
description	In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the existence of a fixed point of a generalized asymptotically nonexpansive mapping in both uniformly convex hyperbolic spaces and CAT(O) spaces. © Heldermann Verlag.
format	Journal
author	Withun Phuengrattana Suthep Suantai
author_facet	Withun Phuengrattana Suthep Suantai
author_sort	Withun Phuengrattana
title	Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
title_short	Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
title_full	Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
title_fullStr	Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
title_full_unstemmed	Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
title_sort	existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84885921309&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52741
_version_	1681424006513688576

Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces

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