Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces

In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup {Ts : s ∈ S} in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopo...

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Main Authors:	Phuengrattana,W., Suantai,S.
Format:	Article
Published:	Springer Publishing Company 2015
Subjects:	Geometry and Topology Applied Mathematics
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84899475416&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38731
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38731
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spelling	th-cmuir.6653943832-387312015-06-16T07:54:05Z Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces Phuengrattana,W. Suantai,S. Geometry and Topology Applied Mathematics In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup {Ts : s ∈ S} in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopological semigroup. Our results improve and extend the corresponding results existing in the literature. © 2012 Phuengrattana and Suantai; licensee Springer. 2015-06-16T07:54:05Z 2015-06-16T07:54:05Z 2012-01-01 Article 16871820 2-s2.0-84899475416 10.1186/1687-1812-2012-230 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84899475416&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38731 Springer Publishing Company
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Geometry and Topology Applied Mathematics
spellingShingle	Geometry and Topology Applied Mathematics Phuengrattana,W. Suantai,S. Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
description	In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup {Ts : s ∈ S} in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopological semigroup. Our results improve and extend the corresponding results existing in the literature. © 2012 Phuengrattana and Suantai; licensee Springer.
format	Article
author	Phuengrattana,W. Suantai,S.
author_facet	Phuengrattana,W. Suantai,S.
author_sort	Phuengrattana,W.
title	Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
title_short	Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
title_full	Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
title_fullStr	Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
title_full_unstemmed	Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
title_sort	fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in cat(0) spaces
publisher	Springer Publishing Company
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84899475416&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38731
_version_	1681421526737354752

Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces

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