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A different approach to b(αn,βn)-hypermetric spaces
ISSN: 2217 - 4753
Publisher: author
A different approach to b(αn,βn)-hypermetric spaces
Indexed in
Technology and Engineering
ARTICLE-FACTOR
1.3
Article Basics Score: 3
Article Transparency Score: 3
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 2
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International Category Code (ICC):
ICC-1802
Publisher: University Of Defence In Belgrade
International Journal Address (IAA):
IAA.ZONE/2217117284753
eISSN
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2217 - 4753
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Abstract
Introduction/purpose: The aim of this paper is to present the concept of b(αn,βn)-hypermetric spaces. Methods: Conventional theoretical methods of functional analysis. Results: This study presents the initial results on the topic of b(αn,βn)-hypermetric spaces. In the first part, we generalize an n-dimensional (n ≥ 2) hypermetric distance over an arbitrary non-empty set X. The b(αn,βn)-hyperdistance function is defined in any way we like, the only constraint being the simultaneous satisfaction of the three properties, viz, non-negativity and positive-definiteness, symmetry and (αn,βn)-triangle inequality. In the second part, we discuss the concept of (αn,βn)-completeness, with respect to this b(αn,βn)-hypermetric, and the fixed point theorem which plays an important role in applied mathematics in a variety of fields. Conclusion: With proper generalisations, it is possible to formulate well-known results of classical metric spaces to t...
