Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph

The purpose of this work is to extend the Knaster–Tarski fixed-point theorem to the wider field of reflexive digraph. We give also a DeMarr-type common fixed-point theorem in this context. We then explore some interesting applications of the obtained results in modular function spaces.

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Main Authors: Jaauad Jeddi, Mustapha Kabil, Samih Lazaiz
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/9794134
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author Jaauad Jeddi
Mustapha Kabil
Samih Lazaiz
author_facet Jaauad Jeddi
Mustapha Kabil
Samih Lazaiz
author_sort Jaauad Jeddi
collection DOAJ
description The purpose of this work is to extend the Knaster–Tarski fixed-point theorem to the wider field of reflexive digraph. We give also a DeMarr-type common fixed-point theorem in this context. We then explore some interesting applications of the obtained results in modular function spaces.
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1687-0425
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publishDate 2020-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-bd331fadcfd4448bb42682d1c4df3f832025-08-20T02:18:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/97941349794134Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive DigraphJaauad Jeddi0Mustapha Kabil1Samih Lazaiz2Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies Mohammedia, University Hassan II, Casablanca, MoroccoLaboratory of Mathematics and Applications, Faculty of Sciences and Technologies Mohammedia, University Hassan II, Casablanca, MoroccoLASMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes, MoroccoThe purpose of this work is to extend the Knaster–Tarski fixed-point theorem to the wider field of reflexive digraph. We give also a DeMarr-type common fixed-point theorem in this context. We then explore some interesting applications of the obtained results in modular function spaces.http://dx.doi.org/10.1155/2020/9794134
spellingShingle Jaauad Jeddi
Mustapha Kabil
Samih Lazaiz
Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph
International Journal of Mathematics and Mathematical Sciences
title Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph
title_full Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph
title_fullStr Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph
title_full_unstemmed Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph
title_short Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph
title_sort common fixed point theorems in modular function spaces endowed with reflexive digraph
url http://dx.doi.org/10.1155/2020/9794134
work_keys_str_mv AT jaauadjeddi commonfixedpointtheoremsinmodularfunctionspacesendowedwithreflexivedigraph
AT mustaphakabil commonfixedpointtheoremsinmodularfunctionspacesendowedwithreflexivedigraph
AT samihlazaiz commonfixedpointtheoremsinmodularfunctionspacesendowedwithreflexivedigraph