EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 28(42), pp. 43--50 (1980)

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M-CONVEXITY AND BEST APPROXIMATION

Dipak Chatterjee

St. Xaviers College, 30 Park Street, Calcutta 16, India

Abstract: The notion of M-convexity is introduced in Metric Spaces. The relations betwen M-convex, strictly M-convex and uniformly M-covex metric spaces are studied. The Best approximation properties for M-convex subsets of metric spaces are considered and many new results derived.

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