Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings

We prove some theorems for the existence of ergodic retractions onto the set of common fixed points of a family of asymptotically nonexpansive mappings. Our results extend corresponding results of Benavides and Ramírez (2001), and Li and Sims (2002).

Bibliographic Details
Main Author: Shahram Saeidi
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/281362
id doaj-f90c0d8352804a2387745fba4e4d5446
record_format Article
spelling doaj-f90c0d8352804a2387745fba4e4d54462020-11-25T00:05:00ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/281362Ergodic Retractions for Families of Asymptotically Nonexpansive MappingsShahram SaeidiWe prove some theorems for the existence of ergodic retractions onto the set of common fixed points of a family of asymptotically nonexpansive mappings. Our results extend corresponding results of Benavides and Ramírez (2001), and Li and Sims (2002). http://dx.doi.org/10.1155/2010/281362
collection DOAJ
language English
format Article
sources DOAJ
author Shahram Saeidi
spellingShingle Shahram Saeidi
Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings
Fixed Point Theory and Applications
author_facet Shahram Saeidi
author_sort Shahram Saeidi
title Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings
title_short Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings
title_full Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings
title_fullStr Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings
title_full_unstemmed Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings
title_sort ergodic retractions for families of asymptotically nonexpansive mappings
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description We prove some theorems for the existence of ergodic retractions onto the set of common fixed points of a family of asymptotically nonexpansive mappings. Our results extend corresponding results of Benavides and Ramírez (2001), and Li and Sims (2002).
url http://dx.doi.org/10.1155/2010/281362
work_keys_str_mv AT shahramsaeidi ergodicretractionsforfamiliesofasymptoticallynonexpansivemappings
_version_ 1716227717378080768