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On Multi-Metric Spaces

General Mathematics 2007-05-23 v1

Abstract

A Smarandache multi-space is a union of nn spaces A1,A2,...,AnA_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.

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Cite

@article{arxiv.math/0510480,
  title  = {On Multi-Metric Spaces},
  author = {Linfan Mao},
  journal= {arXiv preprint arXiv:math/0510480},
  year   = {2007}
}

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9 pages