Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces

In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing litera...

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Autores principales: Solomon Gebregiorgis Teweldemedhin, Kidane Koyas Tola
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Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/f1f135c2bfab4d048696fbe1c0a8740c
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spelling oai:doaj.org-article:f1f135c2bfab4d048696fbe1c0a8740c2021-11-29T00:56:43ZFixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces1687-040910.1155/2021/5988007https://doaj.org/article/f1f135c2bfab4d048696fbe1c0a8740c2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5988007https://doaj.org/toc/1687-0409In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.Solomon Gebregiorgis TeweldemedhinKidane Koyas TolaHindawi LimitedarticleMathematicsQA1-939ENAbstract and Applied Analysis, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Solomon Gebregiorgis Teweldemedhin
Kidane Koyas Tola
Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces
description In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.
format article
author Solomon Gebregiorgis Teweldemedhin
Kidane Koyas Tola
author_facet Solomon Gebregiorgis Teweldemedhin
Kidane Koyas Tola
author_sort Solomon Gebregiorgis Teweldemedhin
title Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces
title_short Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces
title_full Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces
title_fullStr Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces
title_full_unstemmed Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces
title_sort fixed point results for an almost generalized α-admissible z-contraction in the setting of partially ordered b-metric spaces
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/f1f135c2bfab4d048696fbe1c0a8740c
work_keys_str_mv AT solomongebregiorgisteweldemedhin fixedpointresultsforanalmostgeneralizedaadmissiblezcontractioninthesettingofpartiallyorderedbmetricspaces
AT kidanekoyastola fixedpointresultsforanalmostgeneralizedaadmissiblezcontractioninthesettingofpartiallyorderedbmetricspaces
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