On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces

DOI10.1090/S0002-9939-96-03374-6zbMath0855.41028OpenAlexW2070972358MaRDI QIDQ4896165

Jacek Wośko, Andrzej Wiśnicki

Publication date: 20 October 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03374-6

zbMATH Keywords

space of continuous functionsHausdorff distanceHausdorff measures of noncompactnessChebyshev radiiLifschitz constant

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric ⋮ Distances on probability measures and random variables ⋮ The Vietoris hyperspace structure for approach spaces ⋮ An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric ⋮ Approach theory meets probability theory ⋮ The relative Chebyshev centers of finite sets in geodesic spaces ⋮ A geometrical characterization of the \(C(K)\) and \(C_0(K)\) spaces

Cites Work

• Some properties of the characteristic of convexity relating to fixed point theory
• A course on optimization and best approximation
• Fixed point theorems for uniformly Lipschitzian mappings in LP spaces
• Restricted Centers in C(Ω)
• A fixed point theorem for transformations whose iterates have uniform Lipschitz constant
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