Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings

We discuss convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in Banach spaces, and the boundedness of the domain and range can be dropped, generalizing theorems of Chang.

Bibliographic Details
Main Authors: Liwei Liu, Yuchao Tang
Format: Article
Language:English
Published: SpringerOpen 2006-10-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/24978
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spelling doaj-bb65e891dbcf4dae8a895f6acbcc7a282020-11-24T22:06:27ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-10-01200610.1155/FPTA/2006/24978Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappingsLiwei LiuYuchao TangWe discuss convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in Banach spaces, and the boundedness of the domain and range can be dropped, generalizing theorems of Chang.http://dx.doi.org/10.1155/FPTA/2006/24978
collection DOAJ
language English
format Article
sources DOAJ
author Liwei Liu
Yuchao Tang
spellingShingle Liwei Liu
Yuchao Tang
Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
Fixed Point Theory and Applications
author_facet Liwei Liu
Yuchao Tang
author_sort Liwei Liu
title Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
title_short Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
title_full Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
title_fullStr Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
title_full_unstemmed Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
title_sort note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2006-10-01
description We discuss convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in Banach spaces, and the boundedness of the domain and range can be dropped, generalizing theorems of Chang.
url http://dx.doi.org/10.1155/FPTA/2006/24978
work_keys_str_mv AT liweiliu noteonsomeresultsforasymptoticallypseudocontractivemappingsandasymptoticallynonexpansivemappings
AT yuchaotang noteonsomeresultsforasymptoticallypseudocontractivemappingsandasymptoticallynonexpansivemappings
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