Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces

We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mappingss in hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same...

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Main Authors: Rajendra Pant, Rameshwa Pandey
Format: Article
Language:English
Published: Universitat Politècnica de València 2019-04-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/11057
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spelling doaj-8d1530e0f79e433e818a93b0dad5eddf2020-11-25T01:08:41ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472019-04-0120128129510.4995/agt.2019.110577400Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spacesRajendra Pant0Rameshwa Pandey1University of JohannesburgVisvesvaraya National Institute of TechnologyWe consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mappingss in hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative non-trivial examples have also been discussed.https://polipapers.upv.es/index.php/AGT/article/view/11057Reich-Suzuki type nonexpansive mappinghyperbolic metric spaceiteration processnonexpansive mapping
collection DOAJ
language English
format Article
sources DOAJ
author Rajendra Pant
Rameshwa Pandey
spellingShingle Rajendra Pant
Rameshwa Pandey
Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces
Applied General Topology
Reich-Suzuki type nonexpansive mapping
hyperbolic metric space
iteration process
nonexpansive mapping
author_facet Rajendra Pant
Rameshwa Pandey
author_sort Rajendra Pant
title Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces
title_short Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces
title_full Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces
title_fullStr Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces
title_full_unstemmed Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces
title_sort existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2019-04-01
description We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mappingss in hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative non-trivial examples have also been discussed.
topic Reich-Suzuki type nonexpansive mapping
hyperbolic metric space
iteration process
nonexpansive mapping
url https://polipapers.upv.es/index.php/AGT/article/view/11057
work_keys_str_mv AT rajendrapant existenceandconvergenceresultsforaclassofnonexpansivetypemappingsinhyperbolicspaces
AT rameshwapandey existenceandconvergenceresultsforaclassofnonexpansivetypemappingsinhyperbolicspaces
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