Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces

This research paper examines the data dependence of fixed point sets for pseudo-contractive multifunctions in partial metric spaces using the notion of $\mathcal{C}$-class functions. By building upon previous findings from the literature, this work sheds more light on some new perspectives as well a...

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Main Author: Abdessalem Benterki
Format: Article
Language:English
Published: Emrah Evren KARA 2024-12-01
Series:Universal Journal of Mathematics and Applications
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/3855815
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author Abdessalem Benterki
author_facet Abdessalem Benterki
author_sort Abdessalem Benterki
collection DOAJ
description This research paper examines the data dependence of fixed point sets for pseudo-contractive multifunctions in partial metric spaces using the notion of $\mathcal{C}$-class functions. By building upon previous findings from the literature, this work sheds more light on some new perspectives as well as generalizations on this issue. To illustrate how the $\mathcal{C}$-class function can be applied to study the data dependence of fixed point sets for a certain pseudo-contractive multifunction, an illustrative example is given.
format Article
id doaj-art-418bcaef35c74597a3a4024184ccce2f
institution Kabale University
issn 2619-9653
language English
publishDate 2024-12-01
publisher Emrah Evren KARA
record_format Article
series Universal Journal of Mathematics and Applications
spelling doaj-art-418bcaef35c74597a3a4024184ccce2f2024-12-17T17:11:48ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532024-12-017415216210.32323/ujma.14668791225Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric SpacesAbdessalem Benterki0https://orcid.org/0000-0001-9060-4737University Yahia Fares of MedeaThis research paper examines the data dependence of fixed point sets for pseudo-contractive multifunctions in partial metric spaces using the notion of $\mathcal{C}$-class functions. By building upon previous findings from the literature, this work sheds more light on some new perspectives as well as generalizations on this issue. To illustrate how the $\mathcal{C}$-class function can be applied to study the data dependence of fixed point sets for a certain pseudo-contractive multifunction, an illustrative example is given.https://dergipark.org.tr/en/download/article-file/3855815$\mathcal{c}$-class functiondata dependencemultifunctionpartial metric space
spellingShingle Abdessalem Benterki
Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces
Universal Journal of Mathematics and Applications
$\mathcal{c}$-class function
data dependence
multifunction
partial metric space
title Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces
title_full Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces
title_fullStr Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces
title_full_unstemmed Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces
title_short Some Data Dependence Results From Using $\mathcal{C}$-Class Functions in Partial Metric Spaces
title_sort some data dependence results from using mathcal c class functions in partial metric spaces
topic $\mathcal{c}$-class function
data dependence
multifunction
partial metric space
url https://dergipark.org.tr/en/download/article-file/3855815
work_keys_str_mv AT abdessalembenterki somedatadependenceresultsfromusingmathcalcclassfunctionsinpartialmetricspaces