Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces

Abstract In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contractio...

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Autores principales: Joy C. Umudu, Johnson O. Olaleru, Adesanmi A. Mogbademu
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Lenguaje:EN
Publicado: SpringerOpen 2020
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Acceso en línea:https://doaj.org/article/ad4582890f7c46fb8db179525064a2b9
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spelling oai:doaj.org-article:ad4582890f7c46fb8db179525064a2b92021-12-02T15:40:22ZFixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces10.1186/s13663-020-00683-z1687-1812https://doaj.org/article/ad4582890f7c46fb8db179525064a2b92020-11-01T00:00:00Zhttp://link.springer.com/article/10.1186/s13663-020-00683-zhttps://doaj.org/toc/1687-1812Abstract In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contraction mappings and other Geraghty quasi-contractive type mappings in the literature. Fixed point results are obtained without imposing a continuity condition on the mapping, thereby further generalizing some other related work in the literature. An example is given to show the validity of results obtained.Joy C. UmuduJohnson O. OlaleruAdesanmi A. MogbademuSpringerOpenarticleFixed pointDislocated quasi-metric spaceGeraghty quasi-contraction type mappingApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
institution DOAJ
collection DOAJ
language EN
topic Fixed point
Dislocated quasi-metric space
Geraghty quasi-contraction type mapping
Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
spellingShingle Fixed point
Dislocated quasi-metric space
Geraghty quasi-contraction type mapping
Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
Joy C. Umudu
Johnson O. Olaleru
Adesanmi A. Mogbademu
Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces
description Abstract In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contraction mappings and other Geraghty quasi-contractive type mappings in the literature. Fixed point results are obtained without imposing a continuity condition on the mapping, thereby further generalizing some other related work in the literature. An example is given to show the validity of results obtained.
format article
author Joy C. Umudu
Johnson O. Olaleru
Adesanmi A. Mogbademu
author_facet Joy C. Umudu
Johnson O. Olaleru
Adesanmi A. Mogbademu
author_sort Joy C. Umudu
title Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces
title_short Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces
title_full Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces
title_fullStr Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces
title_full_unstemmed Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces
title_sort fixed point results for geraghty quasi-contraction type mappings in dislocated quasi-metric spaces
publisher SpringerOpen
publishDate 2020
url https://doaj.org/article/ad4582890f7c46fb8db179525064a2b9
work_keys_str_mv AT joycumudu fixedpointresultsforgeraghtyquasicontractiontypemappingsindislocatedquasimetricspaces
AT johnsonoolaleru fixedpointresultsforgeraghtyquasicontractiontypemappingsindislocatedquasimetricspaces
AT adesanmiamogbademu fixedpointresultsforgeraghtyquasicontractiontypemappingsindislocatedquasimetricspaces
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