EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 83(97), pp. 99–104 (2008)

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ON $\delta$-SUNS

T. D. Narang and Shavetambry Tejpal

Department of Mathematics, Guru Nanak Dev University, Amritsar, India

Abstract: We prove that an approximatively compact Chebyshev set in an M-space is a $\delta$-sun and a $\delta$-sun in a complete strong M-space (or externally convex M-space) is almost convex.

Keywords: $\delta$-sun, almost convex set, Chebyshev set, convex metric space, M-space, strong M-space and externally convex space

Classification (MSC2000): 41A65; 41A50

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