Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions

[EN] In this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is great...

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Detalhes bibliográficos
Autores: Shabir, Naila, Raza, Ali, Khan, Safeer Hussain
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/221842
Acesso em linha:https://riunet.upv.es/handle/10251/221842
Access Level:acceso abierto
Palavra-chave:fixed point
interpolative Kannan type cyclic contraction
interpolative Reich-Rus-Ćirić type cyclic contraction
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spelling Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractionsShabir, NailaRaza, AliKhan, Safeer Hussainfixed pointinterpolative Kannan type cyclic contractioninterpolative Reich-Rus-Ćirić type cyclic contraction[EN] In this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is greater than one. Additionally, we provide results for interpolative Reich-Rus-Ćirić cyclic contractions specifically for cases where the sum of the interpolative exponents is greater than one. Furthermore, we verify our results with suitable examples. Our results are new and complement some results in the literature.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/221842reponame: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 - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2218422026-06-13T07:49:27Z
dc.title.none.fl_str_mv Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
title Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
spellingShingle Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
Shabir, Naila
fixed point
interpolative Kannan type cyclic contraction
interpolative Reich-Rus-Ćirić type cyclic contraction
title_short Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
title_full Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
title_fullStr Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
title_full_unstemmed Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
title_sort Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
dc.creator.none.fl_str_mv Shabir, Naila
Raza, Ali
Khan, Safeer Hussain
author Shabir, Naila
author_facet Shabir, Naila
Raza, Ali
Khan, Safeer Hussain
author_role author
author2 Raza, Ali
Khan, Safeer Hussain
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 fixed point
interpolative Kannan type cyclic contraction
interpolative Reich-Rus-Ćirić type cyclic contraction
topic fixed point
interpolative Kannan type cyclic contraction
interpolative Reich-Rus-Ćirić type cyclic contraction
description [EN] In this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is greater than one. Additionally, we provide results for interpolative Reich-Rus-Ćirić cyclic contractions specifically for cases where the sum of the interpolative exponents is greater than one. Furthermore, we verify our results with suitable examples. Our results are new and complement some results in the literature.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-04-01
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/10251/221842
url https://riunet.upv.es/handle/10251/221842
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 - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/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 - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv 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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