Name: On Multi-Metric Spaces
Creator: Linfan Mao
Keywords: 51D99,51K05,51M05, metric, General Mathematics (math.GM), multi-space, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 02 engineering and technology, Mathematics - General Mathematics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2005Embargo end date: 01 Jan 2005Publisher:arXivJournal:arXiv: General Mathematics

Authors: Linfan Mao;

doi: 10.48550/arxiv.math/0510480 , 10.5281/zenodo.32318 , 10.5281/zenodo.9329

arXiv: http://arxiv.org/abs/math/0510480

On Multi-Metric Spaces

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Abstract

A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric space is introduced. Some characteristics of a multi-metric space are obtained and Banach's fixed-point theorem is generalized in this paper.

9 pages

Related Organizations

Academy of Mathematics and Systems Science
China (People's Republic of)

Keywords

51D99,51K05,51M05, metric, General Mathematics (math.GM), multi-space, FOS: Mathematics, Mathematics - General Mathematics

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