A characterization of complete metric spaces

Author:
Francis Sullivan

Journal:
Proc. Amer. Math. Soc. **83** (1981), 345-346

MSC:
Primary 54E50; Secondary 54C30

MathSciNet review:
624927

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Abstract: A general formulation of the completeness argument used in the Bishop-Phelps Theorem and many other places has been given by Ekeland. It is shown that Ekeland's formulation characterizes complete metric spaces.

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DOI:
https://doi.org/10.1090/S0002-9939-1981-0624927-9

Keywords:
Bishop-Phelps Theorem,
completeness

Article copyright:
© Copyright 1981
American Mathematical Society