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On Multi-Metric Spaces

Research paper by Linfan Mao

Indexed on: 22 Oct '05Published on: 22 Oct '05Published in: Mathematics - General Mathematics



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.