Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces

Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces

<p>Abstract</p> <p>In this paper, we introduce generalized hybrid mapping on CAT(0) spaces. The class of generalized hybrid mappings contains the class of nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mapp...

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Main Authors: Yu Zenn-Tsun, Lin Lai-Jiu, Chuang Chih-Sheng
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Subjects:
nonexpansive mapping
fixed point
generalized hybrid mapping
CAT(0) spaces
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/1/49
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spelling doaj-e7062a24f9564cefa3cf36e7101926442020-11-24T20:44:29ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011149Fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on CAT(0) spacesYu Zenn-TsunLin Lai-JiuChuang Chih-Sheng<p>Abstract</p> <p>In this paper, we introduce generalized hybrid mapping on CAT(0) spaces. The class of generalized hybrid mappings contains the class of nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mappings on CAT(0) spaces. We also consider some iteration processes for generalized hybrid mappings on CAT(0) spaces, and our results generalize some results of fixed point theorems on CAT(0) spaces and Hilbert spaces.</p> http://www.fixedpointtheoryandapplications.com/content/2011/1/49nonexpansive mappingfixed pointgeneralized hybrid mappingCAT(0) spaces
collection DOAJ
language English
format Article
sources DOAJ
author Yu Zenn-Tsun
Lin Lai-Jiu
Chuang Chih-Sheng
spellingShingle Yu Zenn-Tsun
Lin Lai-Jiu
Chuang Chih-Sheng
Fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on CAT(0) spaces
Fixed Point Theory and Applications
nonexpansive mapping
fixed point
generalized hybrid mapping
CAT(0) spaces
author_facet Yu Zenn-Tsun
Lin Lai-Jiu
Chuang Chih-Sheng
author_sort Yu Zenn-Tsun
title Fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on CAT(0) spaces
title_short Fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on CAT(0) spaces
title_full Fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on CAT(0) spaces
title_fullStr Fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on CAT(0) spaces
title_full_unstemmed Fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on CAT(0) spaces
title_sort fixed point theorems and &#916;-convergence theorems for generalized hybrid mappings on cat(0) spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2011-01-01
description <p>Abstract</p> <p>In this paper, we introduce generalized hybrid mapping on CAT(0) spaces. The class of generalized hybrid mappings contains the class of nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mappings on CAT(0) spaces. We also consider some iteration processes for generalized hybrid mappings on CAT(0) spaces, and our results generalize some results of fixed point theorems on CAT(0) spaces and Hilbert spaces.</p>
topic nonexpansive mapping
fixed point
generalized hybrid mapping
CAT(0) spaces
url http://www.fixedpointtheoryandapplications.com/content/2011/1/49
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AT linlaijiu fixedpointtheoremsand916convergencetheoremsforgeneralizedhybridmappingsoncat0spaces
AT chuangchihsheng fixedpointtheoremsand916convergencetheoremsforgeneralizedhybridmappingsoncat0spaces
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