Abstract
A mapping d: X 2 → ℝ+ is a metric on X if
-
(1)
\( d\left( {x,y} \right) = 0 \Leftrightarrow x = y\);
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2)
\( d\left( {x,y} \right) = d\left( {y,x} \right)\;\left( {x,y \in X} \right) \);
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(3)
\( d\left( {x,y} \right) \le d\left( {x,z} \right) + d\left( {z,y} \right)\;\left( {x,y,z \in X} \right) \).
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© 1996 Springer Science+Business Media Dordrecht
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Kutateladze, S.S. (1996). An Excursion into Metric Spaces. In: Fundamentals of Functional Analysis. Kluwer Texts in the Mathematical Sciences, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8755-6_4
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DOI: https://doi.org/10.1007/978-94-015-8755-6_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4661-1
Online ISBN: 978-94-015-8755-6
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