Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph

In this paper, we discuss a class of mappings more general than ρ-nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the existence of fixed point results of these mappings. Then, we also introduce an iterative scheme for which proves the convergence...

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Main Authors: Nour-eddine El Harmouchi, Karim Chaira, El Miloudi Marhrani
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/3793606
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spelling doaj-96eaebf96ff6478185523687a13e765e2020-11-25T03:02:27ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/37936063793606Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a GraphNour-eddine El Harmouchi0Karim Chaira1El Miloudi Marhrani2Laboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, Avenue Cdt Driss El Harti, B.P 7955 Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, Avenue Cdt Driss El Harti, B.P 7955 Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, Avenue Cdt Driss El Harti, B.P 7955 Sidi Othmane, Casablanca, MoroccoIn this paper, we discuss a class of mappings more general than ρ-nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the existence of fixed point results of these mappings. Then, we also introduce an iterative scheme for which proves the convergence to a fixed point of such mapping in a modular space with a graph.http://dx.doi.org/10.1155/2020/3793606
collection DOAJ
language English
format Article
sources DOAJ
author Nour-eddine El Harmouchi
Karim Chaira
El Miloudi Marhrani
spellingShingle Nour-eddine El Harmouchi
Karim Chaira
El Miloudi Marhrani
Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph
Abstract and Applied Analysis
author_facet Nour-eddine El Harmouchi
Karim Chaira
El Miloudi Marhrani
author_sort Nour-eddine El Harmouchi
title Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph
title_short Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph
title_full Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph
title_fullStr Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph
title_full_unstemmed Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph
title_sort fixed point theorems for a new class of mappings in modular spaces endowed with a graph
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2020-01-01
description In this paper, we discuss a class of mappings more general than ρ-nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the existence of fixed point results of these mappings. Then, we also introduce an iterative scheme for which proves the convergence to a fixed point of such mapping in a modular space with a graph.
url http://dx.doi.org/10.1155/2020/3793606
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