Best approximation in metric spaces
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- by Roshdi Khalil PDF
- Proc. Amer. Math. Soc. 103 (1988), 579-586 Request permission
Abstract:
A metric space $\left ( {X,d} \right )$ is called an $M$-space if for every $x$ and $y$ in $X$ and for every $r \in \left [ {0,\lambda } \right ]$ we have $B\left [ {x,r} \right ] \cap B\left [ {y,\lambda - r} \right ] = \left \{ z \right \}$ for some $z \in X$, where $\lambda = d\left ( {x,y} \right )$. It is the object of this paper to study $M$-spaces in terms of proximinality properties of certain sets.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 579-586
- MSC: Primary 41A65; Secondary 54E35
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943087-4
- MathSciNet review: 943087