Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application

We initiate the concept of a new generalized F-contraction satisfying some contractive conditions involving four maps on a partial metric space. We set up an example to elucidate our main result. An application is derived where a system of elliptic boundary value equations has a common solution.

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Bibliographic Details
Main Authors: Muhammad Nazam, Hassen Aydi, Mohd Salmi Noorani, Haitham Qawaqneh
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/5980312
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author Muhammad Nazam
Hassen Aydi
Mohd Salmi Noorani
Haitham Qawaqneh
author_facet Muhammad Nazam
Hassen Aydi
Mohd Salmi Noorani
Haitham Qawaqneh
author_sort Muhammad Nazam
collection DOAJ
description We initiate the concept of a new generalized F-contraction satisfying some contractive conditions involving four maps on a partial metric space. We set up an example to elucidate our main result. An application is derived where a system of elliptic boundary value equations has a common solution.
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institution Kabale University
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publishDate 2019-01-01
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series Journal of Function Spaces
spelling doaj-art-ee06c8d7b43f4fe29cea0cfce7239ded2025-02-03T05:51:37ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/59803125980312Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an ApplicationMuhammad Nazam0Hassen Aydi1Mohd Salmi Noorani2Haitham Qawaqneh3Department of Mathematics, Allama Iqbal Open University, H-8, Islamabad, PakistanUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, Hammam Sousse 4000, TunisiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), 43600 Selangor Darul Ehsan, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), 43600 Selangor Darul Ehsan, MalaysiaWe initiate the concept of a new generalized F-contraction satisfying some contractive conditions involving four maps on a partial metric space. We set up an example to elucidate our main result. An application is derived where a system of elliptic boundary value equations has a common solution.http://dx.doi.org/10.1155/2019/5980312
spellingShingle Muhammad Nazam
Hassen Aydi
Mohd Salmi Noorani
Haitham Qawaqneh
Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application
Journal of Function Spaces
title Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application
title_full Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application
title_fullStr Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application
title_full_unstemmed Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application
title_short Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application
title_sort existence of fixed points of four maps for a new generalized f contraction and an application
url http://dx.doi.org/10.1155/2019/5980312
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AT hassenaydi existenceoffixedpointsoffourmapsforanewgeneralizedfcontractionandanapplication
AT mohdsalminoorani existenceoffixedpointsoffourmapsforanewgeneralizedfcontractionandanapplication
AT haithamqawaqneh existenceoffixedpointsoffourmapsforanewgeneralizedfcontractionandanapplication