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Best approximation on convex sets in a metric space

G AHUJA,T NARANG, S TREHAN

Journal of Approximation Theory（1974）

Cited 21|Views5
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Abstract
In this paper the concepts of strictly convex and uniformly convex normed linear spaces are extended to metric spaces. A relationship between strictly convex and uniformly convex metric spaces is established. Certain existence and uniqueness theorems on best approximation in these spaces as well as in a complete metric space are proved.
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Key words
convex set,metric space
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