Unified common fixed point theorems under weak reciprocal continuity or without continuity

[EN] The purpose of this paper is two fold. Firstly, using the notion of weak reciprocal continuity due to Pant et al. Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara Sez. VII Sci. Mat. 57(1), 181-190 (2011)], we prove unified common fixed point theorems for various variants...

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Detalles Bibliográficos
Autores: Kadelburg, Zoran, Imdad, Mohammad, Chauhan, Sunny
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/43554
Acceso en línea:https://riunet.upv.es/handle/10251/43554
Access Level:acceso abierto
Palabra clave:Metric space
Compatible mappings
R-weakly commuting mappings
weak reciprocal continuity
Coincidentally commuting
Implicit relation
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spelling Unified common fixed point theorems under weak reciprocal continuity or without continuityKadelburg, ZoranImdad, MohammadChauhan, SunnyMetric spaceCompatible mappingsR-weakly commuting mappingsweak reciprocal continuityCoincidentally commutingImplicit relation[EN] The purpose of this paper is two fold. Firstly, using the notion of weak reciprocal continuity due to Pant et al. Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara Sez. VII Sci. Mat. 57(1), 181-190 (2011)], we prove unified common fixed point theorems for various variants of compatible and $R$-weakly commuting mappings in complete metric spaces employing an implicit relation which covers a multitude of contraction conditions yielding thereby known as well as unknown results as corollaries. Secondly, we point out that more natural results can be proved under relatively tighter conditions if we replace the completeness of the space by completeness of suitable subspaces. The realized improvements in our results are also substantiated using appropriate examples.Editorial Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20142014-04-07journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/43554reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/435542026-06-13T07:49:27Z
dc.title.none.fl_str_mv Unified common fixed point theorems under weak reciprocal continuity or without continuity
title Unified common fixed point theorems under weak reciprocal continuity or without continuity
spellingShingle Unified common fixed point theorems under weak reciprocal continuity or without continuity
Kadelburg, Zoran
Metric space
Compatible mappings
R-weakly commuting mappings
weak reciprocal continuity
Coincidentally commuting
Implicit relation
title_short Unified common fixed point theorems under weak reciprocal continuity or without continuity
title_full Unified common fixed point theorems under weak reciprocal continuity or without continuity
title_fullStr Unified common fixed point theorems under weak reciprocal continuity or without continuity
title_full_unstemmed Unified common fixed point theorems under weak reciprocal continuity or without continuity
title_sort Unified common fixed point theorems under weak reciprocal continuity or without continuity
dc.creator.none.fl_str_mv Kadelburg, Zoran
Imdad, Mohammad
Chauhan, Sunny
author Kadelburg, Zoran
author_facet Kadelburg, Zoran
Imdad, Mohammad
Chauhan, Sunny
author_role author
author2 Imdad, Mohammad
Chauhan, Sunny
author2_role author
author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Metric space
Compatible mappings
R-weakly commuting mappings
weak reciprocal continuity
Coincidentally commuting
Implicit relation
topic Metric space
Compatible mappings
R-weakly commuting mappings
weak reciprocal continuity
Coincidentally commuting
Implicit relation
description [EN] The purpose of this paper is two fold. Firstly, using the notion of weak reciprocal continuity due to Pant et al. Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara Sez. VII Sci. Mat. 57(1), 181-190 (2011)], we prove unified common fixed point theorems for various variants of compatible and $R$-weakly commuting mappings in complete metric spaces employing an implicit relation which covers a multitude of contraction conditions yielding thereby known as well as unknown results as corollaries. Secondly, we point out that more natural results can be proved under relatively tighter conditions if we replace the completeness of the space by completeness of suitable subspaces. The realized improvements in our results are also substantiated using appropriate examples.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-04-07
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/43554
url https://riunet.upv.es/handle/10251/43554
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Editorial Universitat Politècnica de València
publisher.none.fl_str_mv Editorial Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,298079

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