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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2020-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2020/3793606 |
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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 |
work_keys_str_mv |
AT noureddineelharmouchi fixedpointtheoremsforanewclassofmappingsinmodularspacesendowedwithagraph AT karimchaira fixedpointtheoremsforanewclassofmappingsinmodularspacesendowedwithagraph AT elmiloudimarhrani fixedpointtheoremsforanewclassofmappingsinmodularspacesendowedwithagraph |
_version_ |
1715321078408019968 |