On multivalued L-contractions and an application

On multivalued L-contractions and an application

Abstract The aim of this paper is to present several fixed-point results for L-contractive multivalued mappings involving θ-functions in the class of metric spaces. We also give some examples in support of the related concepts and presented results. A homotopy result is also provided.

Bibliographic Details
Main Authors: M. A. Barakat, Hassen Aydi, Aiman Mukheimer, Ahmed A. Soliman, Abdallah Hyder
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Fixed point
Metric space
Multivalued mappings
L-contraction
θ-function
Online Access:http://link.springer.com/article/10.1186/s13662-020-03010-3
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spelling doaj-171ee429f20648f58881fe3c0c1979e02020-11-25T03:42:19ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020111310.1186/s13662-020-03010-3On multivalued L-contractions and an applicationM. A. Barakat0Hassen Aydi1Aiman Mukheimer2Ahmed A. Soliman3Abdallah Hyder4Department of Mathematics, Faculty of Sciences, Al-Azhar UniversityNonlinear Analysis Research Group, Ton Duc Thang UniversityDepartment of Mathematics and General Sciences, Prince Sultan UniversityDepartment of Mathematics, Faculty of Sciences, Al-Azhar UniversityCollege of Science, Department of Mathematics, King Khalid UniversityAbstract The aim of this paper is to present several fixed-point results for L-contractive multivalued mappings involving θ-functions in the class of metric spaces. We also give some examples in support of the related concepts and presented results. A homotopy result is also provided.http://link.springer.com/article/10.1186/s13662-020-03010-3Fixed pointMetric spaceMultivalued mappingsL-contractionθ-function
collection DOAJ
language English
format Article
sources DOAJ
author M. A. Barakat
Hassen Aydi
Aiman Mukheimer
Ahmed A. Soliman
Abdallah Hyder
spellingShingle M. A. Barakat
Hassen Aydi
Aiman Mukheimer
Ahmed A. Soliman
Abdallah Hyder
On multivalued L-contractions and an application
Advances in Difference Equations
Fixed point
Metric space
Multivalued mappings
L-contraction
θ-function
author_facet M. A. Barakat
Hassen Aydi
Aiman Mukheimer
Ahmed A. Soliman
Abdallah Hyder
author_sort M. A. Barakat
title On multivalued L-contractions and an application
title_short On multivalued L-contractions and an application
title_full On multivalued L-contractions and an application
title_fullStr On multivalued L-contractions and an application
title_full_unstemmed On multivalued L-contractions and an application
title_sort on multivalued l-contractions and an application
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-10-01
description Abstract The aim of this paper is to present several fixed-point results for L-contractive multivalued mappings involving θ-functions in the class of metric spaces. We also give some examples in support of the related concepts and presented results. A homotopy result is also provided.
topic Fixed point
Metric space
Multivalued mappings
L-contraction
θ-function
url http://link.springer.com/article/10.1186/s13662-020-03010-3
work_keys_str_mv AT mabarakat onmultivaluedlcontractionsandanapplication
AT hassenaydi onmultivaluedlcontractionsandanapplication
AT aimanmukheimer onmultivaluedlcontractionsandanapplication
AT ahmedasoliman onmultivaluedlcontractionsandanapplication
AT abdallahhyder onmultivaluedlcontractionsandanapplication
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