Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense

Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense

<p/> <p>A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established with...

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Main Authors: Cho SunYoung, Kim JongKyu, Qin Xiaolong
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/186874
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spelling doaj-5517b497de8c442482b1687041f4760a2020-11-25T01:37:58ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101186874Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate SenseCho SunYoungKim JongKyuQin Xiaolong<p/> <p>A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.</p>http://www.fixedpointtheoryandapplications.com/content/2010/186874
collection DOAJ
language English
format Article
sources DOAJ
author Cho SunYoung
Kim JongKyu
Qin Xiaolong
spellingShingle Cho SunYoung
Kim JongKyu
Qin Xiaolong
Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
Fixed Point Theory and Applications
author_facet Cho SunYoung
Kim JongKyu
Qin Xiaolong
author_sort Cho SunYoung
title Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
title_short Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
title_full Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
title_fullStr Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
title_full_unstemmed Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
title_sort convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description <p/> <p>A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/186874
work_keys_str_mv AT chosunyoung convergencetheoremsonasymptoticallypseudocontractivemappingsintheintermediatesense
AT kimjongkyu convergencetheoremsonasymptoticallypseudocontractivemappingsintheintermediatesense
AT qinxiaolong convergencetheoremsonasymptoticallypseudocontractivemappingsintheintermediatesense
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