-convexity and best approximation.
Chatterjee, Dipak (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “A characterization of strictly convex metric linear spaces.”
-convexity and best approximation.
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T. D. Narang, Sangeeta (2010)
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Tulsi Dass Narang (1981)
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M. Volle, J.-B. Hiriart-Urruty, C. Zălinescu (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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The notion of adequate (resp. strongly adequate) function has been recently introduced to characterize the essentially strictly convex (resp. essentially firmly subdifferentiable) functions among the weakly lower semicontinuous (resp. lower semicontinuous) ones. In this paper we provide various necessary and sufficient conditions in order that the lower semicontinuous hull of an extended real-valued function on a reflexive Banach space is essentially strictly convex. Some new results...
Best coapproximation in metric spaces.
Narang, T.D. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Some properties of convex metric spaces
B. Krakus (1972)
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El-Sayed, Wagdy G. (1997)
International Journal of Mathematics and Mathematical Sciences
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The convexity of the subset space of a metric space
V. W. Bryant (1970)
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Strictly convex metric spaces with round balls and fixed points
Inese Bula (2005)
Banach Center Publications
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The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
Selections and near-selections in metric linear spaces without local convexity
Tadeusz Dobrowolski, Jan van Mill (2006)
Fundamenta Mathematicae
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We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections.
On convex metric spaces V
R. Duda (1970)
Fundamenta Mathematicae
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