Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations

Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations

In this article, the concept of extended fuzzy rectangular <i>b</i>-metric space (EFR<sub><i>b</i></sub>MS, for short) is initiated, and some fixed point results frequently used in the literature are generalized via <i>α</i>-admissibility in the settin...

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Main Authors: Badshah-e-Rome, Muhammad Sarwar, Rosana Rodríguez-López
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
extended fuzzy rectangular <i>b</i>-metric spaces
<i>α</i>-<i>η</i>-<i>β</i> contractions
<i>G</i>-convergence
<i>G</i>-completeness
<i>G</i>-Cauchy sequences
Online Access:https://www.mdpi.com/2227-7390/9/16/2009
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spelling doaj-eb3f12b832384778bb400d8ce9cadd732021-08-26T14:02:34ZengMDPI AGMathematics2227-73902021-08-0192009200910.3390/math9162009Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral EquationsBadshah-e-Rome0Muhammad Sarwar1Rosana Rodríguez-López2Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa 18800, PakistanDepartment of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa 18800, PakistanInstituto de Matemáticas and Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainIn this article, the concept of extended fuzzy rectangular <i>b</i>-metric space (EFR<sub><i>b</i></sub>MS, for short) is initiated, and some fixed point results frequently used in the literature are generalized via <i>α</i>-admissibility in the setting of EFR<sub><i>b</i></sub>MS. For the illustration of the work presented, some supporting examples and an application to the existence of solutions for a class of integral equations are also discussed.https://www.mdpi.com/2227-7390/9/16/2009extended fuzzy rectangular <i>b</i>-metric spaces<i>α</i>-<i>η</i>-<i>β</i> contractions<i>G</i>-convergence<i>G</i>-completeness<i>G</i>-Cauchy sequences
collection DOAJ
language English
format Article
sources DOAJ
author Badshah-e-Rome
Muhammad Sarwar
Rosana Rodríguez-López
spellingShingle Badshah-e-Rome
Muhammad Sarwar
Rosana Rodríguez-López
Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations
Mathematics
extended fuzzy rectangular <i>b</i>-metric spaces
<i>α</i>-<i>η</i>-<i>β</i> contractions
<i>G</i>-convergence
<i>G</i>-completeness
<i>G</i>-Cauchy sequences
author_facet Badshah-e-Rome
Muhammad Sarwar
Rosana Rodríguez-López
author_sort Badshah-e-Rome
title Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations
title_short Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations
title_full Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations
title_fullStr Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations
title_full_unstemmed Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations
title_sort fixed point results via <i>α</i>-admissibility in extended fuzzy rectangular <i>b</i>-metric spaces with applications to integral equations
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-08-01
description In this article, the concept of extended fuzzy rectangular <i>b</i>-metric space (EFR<sub><i>b</i></sub>MS, for short) is initiated, and some fixed point results frequently used in the literature are generalized via <i>α</i>-admissibility in the setting of EFR<sub><i>b</i></sub>MS. For the illustration of the work presented, some supporting examples and an application to the existence of solutions for a class of integral equations are also discussed.
topic extended fuzzy rectangular <i>b</i>-metric spaces
<i>α</i>-<i>η</i>-<i>β</i> contractions
<i>G</i>-convergence
<i>G</i>-completeness
<i>G</i>-Cauchy sequences
url https://www.mdpi.com/2227-7390/9/16/2009
work_keys_str_mv AT badshaherome fixedpointresultsviaiaiadmissibilityinextendedfuzzyrectangularibimetricspaceswithapplicationstointegralequations
AT muhammadsarwar fixedpointresultsviaiaiadmissibilityinextendedfuzzyrectangularibimetricspaceswithapplicationstointegralequations
AT rosanarodriguezlopez fixedpointresultsviaiaiadmissibilityinextendedfuzzyrectangularibimetricspaceswithapplicationstointegralequations
_version_ 1721191760013557760

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