Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterati...

Full description

Bibliographic Details
Main Authors: Erdal Karapınar, Hero Salahifard, S. Mansour Vaezpour
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/738150
id doaj-11f6a12b3e30476cbcede8fe12620365
record_format Article
spelling doaj-11f6a12b3e30476cbcede8fe126203652020-11-24T22:02:26ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/738150738150Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) SpacesErdal Karapınar0Hero Salahifard1S. Mansour Vaezpour2Department of Mathematics, Atilim University, İncek 06836, Ankara, TurkeyDepartment of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, IranDepartment of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, IranWe prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results generalize, extend, and unify the corresponding results on the topic in the literature.http://dx.doi.org/10.1155/2014/738150
collection DOAJ
language English
format Article
sources DOAJ
author Erdal Karapınar
Hero Salahifard
S. Mansour Vaezpour
spellingShingle Erdal Karapınar
Hero Salahifard
S. Mansour Vaezpour
Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
Journal of Applied Mathematics
author_facet Erdal Karapınar
Hero Salahifard
S. Mansour Vaezpour
author_sort Erdal Karapınar
title Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_short Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_full Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_fullStr Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_full_unstemmed Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_sort demiclosedness principle for total asymptotically nonexpansive mappings in cat(0) spaces
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results generalize, extend, and unify the corresponding results on the topic in the literature.
url http://dx.doi.org/10.1155/2014/738150
work_keys_str_mv AT erdalkarapınar demiclosednessprinciplefortotalasymptoticallynonexpansivemappingsincat0spaces
AT herosalahifard demiclosednessprinciplefortotalasymptoticallynonexpansivemappingsincat0spaces
AT smansourvaezpour demiclosednessprinciplefortotalasymptoticallynonexpansivemappingsincat0spaces
_version_ 1725835795135201280

Similar Items