-convexity and best approximation.
Chatterjee, Dipak (1980)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
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
Similarity:
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
Similarity:
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
Similarity:
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.