-convexity and best approximation.
Chatterjee, Dipak (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Uniformly convex spaces, bead spaces, and equivalence conditions”
-convexity and best approximation.
Metrically convex functions in normed spaces
Stanisław Kryński (1993)
Studia Mathematica
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Properties of metrically convex functions in normed spaces (of any dimension) are considered. The main result, Theorem 4.2, gives necessary and sufficient conditions for a function to be metrically convex, expressed in terms of the classical convexity theory.
Fixed points and best approximation in Menger convex metric spaces
Ismat Beg, Mujahid Abbas (2005)
Archivum Mathematicum
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We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.
An iteration process for nonlinear mappings in uniformly convex linear metric spaces
Ismat Beg (2003)
Czechoslovak Mathematical Journal
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We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.