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On Multi-Metric Spaces

2005/10/22 by Linfan Mao, Mao, Linfan
Mathematics · #51D99 #51K05 #51M05 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:51D99 #msc:51K05 #msc:51M05

paper · pdf · doi:10.48550/arxiv.math/0510480

9 pages

arxiv created 2005/10/22 · arxiv updated 2009/12/01

Abstract

A Smarandache multi-space is a union of n spaces A1,A2,..., An 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.

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