Title of article
A new version of the results of UN-hypermetric spaces
Author/Authors
Dehghan Nezhad ، Akbar School of Mathematics - Iran University of Science and Technology , Forough ، Ahmadreza Department of Mathematics - Islamic Azad University, North Branch , Mirkov ، Nikola VINČA Institute of Nuclear Sciences, National Institute of the Republic of Serbia - University of Belgrade , Radenović ، Stojan Faculty of Mechanical Engineering - University of Belgrade
From page
562
To page
577
Abstract
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.
Keywords
Un , hypermetric spaces , OG , metric , G , metric
Journal title
Military Technical Courier
Journal title
Military Technical Courier
Record number
2668848
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