Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations

Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations

Abstract In this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed monotone property, and also present some coupled fixed results using the partial order...

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Main Authors: Gui-Xiu Chen, Shamoona Jabeen, Saif Ur Rehman, Ahmed Mostafa Khalil, Fatima Abbas, Arzoo Kanwal, Hayat Ullah
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Advances in Difference Equations
Subjects:
Coupled fixed point
Strong coupled fixed point
Contraction conditions
Fuzzy cone metric space
Online Access:https://doi.org/10.1186/s13662-020-03132-8
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spelling doaj-c7b24d2f77f64107bdfb174c0db0a5ed2020-12-06T12:48:34ZengSpringerOpenAdvances in Difference Equations1687-18472020-11-012020112510.1186/s13662-020-03132-8Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equationsGui-Xiu Chen0Shamoona Jabeen1Saif Ur Rehman2Ahmed Mostafa Khalil3Fatima Abbas4Arzoo Kanwal5Hayat Ullah6School of Mathematics and Statistics, Qinghai Normal UniversitySchool of Mathematical Sciences, Beihang UniversityDepartment of Mathematics, Gomal UniversityDepartment of Mathematics, Faculty of Science, Al-Azhar UniversityDepartment of Mathematics, Gomal UniversityDepartment of Statistics, Gomal UniversityDepartment of Mathematics, Gomal UniversityAbstract In this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed monotone property, and also present some coupled fixed results using the partial order metric in the said space. We present some strong coupled fixed point theorems using cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. Moreover, we present an application of nonlinear integral equations for the existence of a unique solution to support our work.https://doi.org/10.1186/s13662-020-03132-8Coupled fixed pointStrong coupled fixed pointContraction conditionsFuzzy cone metric space
collection DOAJ
language English
format Article
sources DOAJ
author Gui-Xiu Chen
Shamoona Jabeen
Saif Ur Rehman
Ahmed Mostafa Khalil
Fatima Abbas
Arzoo Kanwal
Hayat Ullah
spellingShingle Gui-Xiu Chen
Shamoona Jabeen
Saif Ur Rehman
Ahmed Mostafa Khalil
Fatima Abbas
Arzoo Kanwal
Hayat Ullah
Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
Advances in Difference Equations
Coupled fixed point
Strong coupled fixed point
Contraction conditions
Fuzzy cone metric space
author_facet Gui-Xiu Chen
Shamoona Jabeen
Saif Ur Rehman
Ahmed Mostafa Khalil
Fatima Abbas
Arzoo Kanwal
Hayat Ullah
author_sort Gui-Xiu Chen
title Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
title_short Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
title_full Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
title_fullStr Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
title_full_unstemmed Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
title_sort coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-11-01
description Abstract In this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed monotone property, and also present some coupled fixed results using the partial order metric in the said space. We present some strong coupled fixed point theorems using cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. Moreover, we present an application of nonlinear integral equations for the existence of a unique solution to support our work.
topic Coupled fixed point
Strong coupled fixed point
Contraction conditions
Fuzzy cone metric space
url https://doi.org/10.1186/s13662-020-03132-8
work_keys_str_mv AT guixiuchen coupledfixedpointanalysisinfuzzyconemetricspaceswithanapplicationtononlinearintegralequations
AT shamoonajabeen coupledfixedpointanalysisinfuzzyconemetricspaceswithanapplicationtononlinearintegralequations
AT saifurrehman coupledfixedpointanalysisinfuzzyconemetricspaceswithanapplicationtononlinearintegralequations
AT ahmedmostafakhalil coupledfixedpointanalysisinfuzzyconemetricspaceswithanapplicationtononlinearintegralequations
AT fatimaabbas coupledfixedpointanalysisinfuzzyconemetricspaceswithanapplicationtononlinearintegralequations
AT arzookanwal coupledfixedpointanalysisinfuzzyconemetricspaceswithanapplicationtononlinearintegralequations
AT hayatullah coupledfixedpointanalysisinfuzzyconemetricspaceswithanapplicationtononlinearintegralequations
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