Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces

Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces

In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function φ. Furthermore, we prove a weak convergence theorem for finding a common fixed point of two quasi-nonexpansive ma...

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Main Authors: Inthakon,W., Kaewkhao,A., Niyamosot,N.
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=84902588448&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38742
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-387422015-06-16T07:54:07Z Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces Inthakon,W. Kaewkhao,A. Niyamosot,N. Geometry and Topology Applied Mathematics In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function φ. Furthermore, we prove a weak convergence theorem for finding a common fixed point of two quasi-nonexpansive mappings having demiclosed property in a uniformly convex Banach space. Consequently, such theorem can be deduced to the case of the nonspreading type mappings and some generalized nonexpansive mappings. © 2012 Inthakon et al.; licensee Springer. 2015-06-16T07:54:07Z 2015-06-16T07:54:07Z 2012-01-01 Article 16871820 2-s2.0-84902588448 10.1186/1687-1812-2012-110 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84902588448&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38742 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
Inthakon,W.
Kaewkhao,A.
Niyamosot,N.
Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
description In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function φ. Furthermore, we prove a weak convergence theorem for finding a common fixed point of two quasi-nonexpansive mappings having demiclosed property in a uniformly convex Banach space. Consequently, such theorem can be deduced to the case of the nonspreading type mappings and some generalized nonexpansive mappings. © 2012 Inthakon et al.; licensee Springer.
format Article
author Inthakon,W.
Kaewkhao,A.
Niyamosot,N.
author_facet Inthakon,W.
Kaewkhao,A.
Niyamosot,N.
author_sort Inthakon,W.
title Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
title_short Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
title_full Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
title_fullStr Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
title_full_unstemmed Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
title_sort common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex banach spaces
publisher Springer Publishing Company
publishDate 2015
url http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84902588448&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38742
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