Contraction Mapping Theorem in Partial Fuzzy Metric Spaces

The contraction mapping theorem and its application are often encountered in different fields of pure and applied mathematics. In this work, three aims are achieved, which are first of introducing and presenting the basic and fundamental necessary concepts for partial fuzzy metric spaces. The second...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Fadhel S. Fadhel, Jaafer Hmood Eidi, Hazim M.Wali
Formato:	article
Lenguaje:	EN
Publicado:	Tamkang University Press 2021
Materias:	partial fuzzy metric space contraction mapping theorem fuzzy points contraction mapping Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999
Acceso en línea:	https://doaj.org/article/03deafe8bd494af99d5ebcd36c6e7c7e
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:03deafe8bd494af99d5ebcd36c6e7c7e
record_format	dspace
spelling	oai:doaj.org-article:03deafe8bd494af99d5ebcd36c6e7c7e2021-11-23T19:21:58ZContraction Mapping Theorem in Partial Fuzzy Metric Spaces10.6180/jase.202204_25(2).00202708-99672708-9975https://doaj.org/article/03deafe8bd494af99d5ebcd36c6e7c7e2021-11-01T00:00:00Zhttp://jase.tku.edu.tw/articles/jase-202204-25-2-0020https://doaj.org/toc/2708-9967https://doaj.org/toc/2708-9975The contraction mapping theorem and its application are often encountered in different fields of pure and applied mathematics. In this work, three aims are achieved, which are first of introducing and presenting the basic and fundamental necessary concepts for partial fuzzy metric spaces. The second aim is to state and prove two fuzzy contraction mapping theorems in fuzzy partial metric spaces based on the contractive mapping theorem by using the suggested metric function that is defined over fuzzy points rather than fuzzy sets. Also, we present in this paper, as the third aim, the relationship between the usual distance function defined in fuzzy metric spaces and the distance function defined over partial metric space, which is defined using fuzzy points.Fadhel S. FadhelJaafer Hmood EidiHazim M.WaliTamkang University Pressarticlepartial fuzzy metric spacecontraction mapping theoremfuzzy pointscontraction mappingEngineering (General). Civil engineering (General)TA1-2040Chemical engineeringTP155-156PhysicsQC1-999ENJournal of Applied Science and Engineering, Vol 25, Iss 2, Pp 353-360 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	partial fuzzy metric space contraction mapping theorem fuzzy points contraction mapping Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999
spellingShingle	partial fuzzy metric space contraction mapping theorem fuzzy points contraction mapping Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999 Fadhel S. Fadhel Jaafer Hmood Eidi Hazim M.Wali Contraction Mapping Theorem in Partial Fuzzy Metric Spaces
description	The contraction mapping theorem and its application are often encountered in different fields of pure and applied mathematics. In this work, three aims are achieved, which are first of introducing and presenting the basic and fundamental necessary concepts for partial fuzzy metric spaces. The second aim is to state and prove two fuzzy contraction mapping theorems in fuzzy partial metric spaces based on the contractive mapping theorem by using the suggested metric function that is defined over fuzzy points rather than fuzzy sets. Also, we present in this paper, as the third aim, the relationship between the usual distance function defined in fuzzy metric spaces and the distance function defined over partial metric space, which is defined using fuzzy points.
format	article
author	Fadhel S. Fadhel Jaafer Hmood Eidi Hazim M.Wali
author_facet	Fadhel S. Fadhel Jaafer Hmood Eidi Hazim M.Wali
author_sort	Fadhel S. Fadhel
title	Contraction Mapping Theorem in Partial Fuzzy Metric Spaces
title_short	Contraction Mapping Theorem in Partial Fuzzy Metric Spaces
title_full	Contraction Mapping Theorem in Partial Fuzzy Metric Spaces
title_fullStr	Contraction Mapping Theorem in Partial Fuzzy Metric Spaces
title_full_unstemmed	Contraction Mapping Theorem in Partial Fuzzy Metric Spaces
title_sort	contraction mapping theorem in partial fuzzy metric spaces
publisher	Tamkang University Press
publishDate	2021
url	https://doaj.org/article/03deafe8bd494af99d5ebcd36c6e7c7e
work_keys_str_mv	AT fadhelsfadhel contractionmappingtheoreminpartialfuzzymetricspaces AT jaaferhmoodeidi contractionmappingtheoreminpartialfuzzymetricspaces AT hazimmwali contractionmappingtheoreminpartialfuzzymetricspaces
_version_	1718416132754374656

Contraction Mapping Theorem in Partial Fuzzy Metric Spaces

Ejemplares similares