EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 87(101), pp. 139–142 (2010)

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A NOTE ON SUNS IN CONVEX METRIC SPACES

T. D. Narang and Sangeeta

Department of Mathematics, Guru Nanak Dev University, Amritsar, India and Department of Mathematics, Amardeep Singh Shergill, Memorial College, Mukandpur, India

Abstract: We prove that in a convex metric space $(X,d)$, an existence set $K$ having a lower semi continuous metric projection is a $\delta$-sun and in a complete $M$-space, a Chebyshev set $K$ with a continuous metric projection is a $\gamma$-sun as well as almost convex.

Keywords: Convex metric space, sun, proximinal set, Chebyshev set, almost convex set and lower semi continuous metric projection

Classification (MSC2000): 41A65

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Electronic fulltext finalized on: 20 Apr 2010. This page was last modified: 18 Jan 2016.

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