A new version of the results of UN-hypermetric spaces

Introduction/purpose: The aim of this paper is to present the concept of a universal hypermetric space. An n-dimensional (n ≥ 2) hypermetric distance over an arbitrary non-empty set X is generalized. This hypermetric distance measures how separated all n points of the space are. The paper discuss...

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Autores principales:	Akbar Dehghan Nezhad, Ahmadreza Forough, Nikola Mirkov, Stojan Radenović
Formato:	article
Lenguaje:	EN
Publicado:	University of Defence in Belgrade 2021
Materias:	un-hypermetric spaces og-metric g-metric Military Science U Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/8948c32961c8404d8cf8cf55191e819d
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spelling	oai:doaj.org-article:8948c32961c8404d8cf8cf55191e819d2021-12-02T16:27:05ZA new version of the results of UN-hypermetric spaces10.5937/vojtehg69-321970042-84692217-4753https://doaj.org/article/8948c32961c8404d8cf8cf55191e819d2021-07-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2021/0042-84692103562D.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/purpose: The aim of this paper is to present the concept of a universal hypermetric space. An n-dimensional (n ≥ 2) hypermetric distance over an arbitrary non-empty set X is generalized. This hypermetric distance measures how separated all n points of the space are. The paper discusses the concept of completeness, with respect to this hypermetric as well as the fixed point theorem which play an important role in applied mathematics in a variety of fields. Methods: Standard proof based theoretical methods of the functional analysis are employed. Results: The concept of a universal hypermetric space is presented. The universal properties of hypermetric spaces are described. Conclusion: This new version of the results for Un-hypermetric spaces may have applications in various disciplines where the degree of clustering is sought for.Akbar Dehghan NezhadAhmadreza ForoughNikola MirkovStojan RadenovićUniversity of Defence in Belgradearticleun-hypermetric spacesog-metricg-metricMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 69, Iss 3, Pp 562-577 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	un-hypermetric spaces og-metric g-metric Military Science U Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	un-hypermetric spaces og-metric g-metric Military Science U Engineering (General). Civil engineering (General) TA1-2040 Akbar Dehghan Nezhad Ahmadreza Forough Nikola Mirkov Stojan Radenović A new version of the results of UN-hypermetric spaces
description	Introduction/purpose: The aim of this paper is to present the concept of a universal hypermetric space. An n-dimensional (n ≥ 2) hypermetric distance over an arbitrary non-empty set X is generalized. This hypermetric distance measures how separated all n points of the space are. The paper discusses the concept of completeness, with respect to this hypermetric as well as the fixed point theorem which play an important role in applied mathematics in a variety of fields. Methods: Standard proof based theoretical methods of the functional analysis are employed. Results: The concept of a universal hypermetric space is presented. The universal properties of hypermetric spaces are described. Conclusion: This new version of the results for Un-hypermetric spaces may have applications in various disciplines where the degree of clustering is sought for.
format	article
author	Akbar Dehghan Nezhad Ahmadreza Forough Nikola Mirkov Stojan Radenović
author_facet	Akbar Dehghan Nezhad Ahmadreza Forough Nikola Mirkov Stojan Radenović
author_sort	Akbar Dehghan Nezhad
title	A new version of the results of UN-hypermetric spaces
title_short	A new version of the results of UN-hypermetric spaces
title_full	A new version of the results of UN-hypermetric spaces
title_fullStr	A new version of the results of UN-hypermetric spaces
title_full_unstemmed	A new version of the results of UN-hypermetric spaces
title_sort	new version of the results of un-hypermetric spaces
publisher	University of Defence in Belgrade
publishDate	2021
url	https://doaj.org/article/8948c32961c8404d8cf8cf55191e819d
work_keys_str_mv	AT akbardehghannezhad anewversionoftheresultsofunhypermetricspaces AT ahmadrezaforough anewversionoftheresultsofunhypermetricspaces AT nikolamirkov anewversionoftheresultsofunhypermetricspaces AT stojanradenovic anewversionoftheresultsofunhypermetricspaces AT akbardehghannezhad newversionoftheresultsofunhypermetricspaces AT ahmadrezaforough newversionoftheresultsofunhypermetricspaces AT nikolamirkov newversionoftheresultsofunhypermetricspaces AT stojanradenovic newversionoftheresultsofunhypermetricspaces
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A new version of the results of UN-hypermetric spaces

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