An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
<p>Abstract</p> <p>In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative algorithm.&l...
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Format: | Article |
Language: | English |
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SpringerOpen
2011-01-01
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Series: | Fixed Point Theory and Applications |
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Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/1/58 |
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author | Qin Xiaolong Kang Shin Agarwal Ravi |
author_facet | Qin Xiaolong Kang Shin Agarwal Ravi |
author_sort | Qin Xiaolong |
collection | DOAJ |
description | <p>Abstract</p> <p>In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative algorithm.</p> <p> <b>Mathematics Subject Classification (2000) </b>47H09 · 47H10 · 47J25</p> |
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format | Article |
id | doaj.art-99821162b34b47f58cdc7a4cd4dad51f |
institution | Directory Open Access Journal |
issn | 1687-1820 1687-1812 |
language | English |
last_indexed | 2024-12-24T04:02:18Z |
publishDate | 2011-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Fixed Point Theory and Applications |
spelling | doaj.art-99821162b34b47f58cdc7a4cd4dad51f2022-12-21T17:16:17ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011158An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappingsQin XiaolongKang ShinAgarwal Ravi<p>Abstract</p> <p>In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative algorithm.</p> <p> <b>Mathematics Subject Classification (2000) </b>47H09 · 47H10 · 47J25</p>http://www.fixedpointtheoryandapplications.com/content/2011/1/58Asymptotically nonexpansive mappingcommon fixed pointimplicit iterative algorithmgeneralized asymptotically nonexpansive mapping |
spellingShingle | Qin Xiaolong Kang Shin Agarwal Ravi An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings Fixed Point Theory and Applications Asymptotically nonexpansive mapping common fixed point implicit iterative algorithm generalized asymptotically nonexpansive mapping |
title | An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings |
title_full | An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings |
title_fullStr | An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings |
title_full_unstemmed | An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings |
title_short | An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings |
title_sort | implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings |
topic | Asymptotically nonexpansive mapping common fixed point implicit iterative algorithm generalized asymptotically nonexpansive mapping |
url | http://www.fixedpointtheoryandapplications.com/content/2011/1/58 |
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