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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doaj-e7062a24f9564cefa3cf36e7101926442020-11-24T20:44:29ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011149Fixed point theorems and Δ-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 Δ-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 Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces |
title_short |
Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces |
title_full |
Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces |
title_fullStr |
Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces |
title_full_unstemmed |
Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces |
title_sort |
fixed point theorems and Δ-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 |
work_keys_str_mv |
AT yuzenntsun fixedpointtheoremsand916convergencetheoremsforgeneralizedhybridmappingsoncat0spaces AT linlaijiu fixedpointtheoremsand916convergencetheoremsforgeneralizedhybridmappingsoncat0spaces AT chuangchihsheng fixedpointtheoremsand916convergencetheoremsforgeneralizedhybridmappingsoncat0spaces |
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1716817352639643648 |