Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph

The aim of this paper is to give fixed point theorems for G-monotone ρ-nonexpansive mappings over ρ-compact or ρ-a.e. compact sets in modular function spaces endowed with a reflexive digraph not necessarily transitive. Examples are given to support our work.

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Main Authors: Jaauad Jeddi, Mustapha Kabil, Samih Lazaiz
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/2135859
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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 aim of this paper is to give fixed point theorems for G-monotone ρ-nonexpansive mappings over ρ-compact or ρ-a.e. compact sets in modular function spaces endowed with a reflexive digraph not necessarily transitive. Examples are given to support our work.
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institution Kabale University
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spelling doaj-art-3033df2b93f44e1895810d0fad70c44a2025-02-03T01:27:05ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/21358592135859Some Fixed Point Theorems in Modular Function Spaces Endowed with a GraphJaauad 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, MoroccoLaboratory of Mathematical Analysis and Applications, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, MoroccoThe aim of this paper is to give fixed point theorems for G-monotone ρ-nonexpansive mappings over ρ-compact or ρ-a.e. compact sets in modular function spaces endowed with a reflexive digraph not necessarily transitive. Examples are given to support our work.http://dx.doi.org/10.1155/2020/2135859
spellingShingle Jaauad Jeddi
Mustapha Kabil
Samih Lazaiz
Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph
Abstract and Applied Analysis
title Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph
title_full Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph
title_fullStr Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph
title_full_unstemmed Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph
title_short Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph
title_sort some fixed point theorems in modular function spaces endowed with a graph
url http://dx.doi.org/10.1155/2020/2135859
work_keys_str_mv AT jaauadjeddi somefixedpointtheoremsinmodularfunctionspacesendowedwithagraph
AT mustaphakabil somefixedpointtheoremsinmodularfunctionspacesendowedwithagraph
AT samihlazaiz somefixedpointtheoremsinmodularfunctionspacesendowedwithagraph