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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2020
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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) |
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Fixed point Dislocated quasi-metric space Geraghty quasi-contraction type mapping Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 |
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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 |
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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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1718385893918638080 |