On Modulus of Noncompact Convexity and Its Properties

DOI10.4153/CMB-1987-027-8zbMath0585.46011OpenAlexW2315898113MaRDI QIDQ3711014

Józef Banaś

Publication date: 1987

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1987-027-8

zbMATH Keywords

Clarkson's modulus of convexityKuratowski and Hausdorff measures of noncompactnessmodulus of non- compact convexity

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (16)

Some geometric coefficients in orlicz sequence spaces ⋮ On the modulus of noncompact convexity of a Banach space ⋮ Another look at the continuity of moduli of noncompact convexity ⋮ Some geometric properties related to smoothness of Banach spaces ⋮ Fixed points of nonexpansive mappings ⋮ Compactness conditions in the geometric theory of Banach spaces ⋮ A new geometrical coefficient for Banach spaces and its applications in fixed point theory ⋮ Modulus of nearly uniform smoothness and Lindenstrauss formulae ⋮ Lower bounds for normal structure coefficients ⋮ Banach spaces with the uniform opial property ⋮ Local uniform Kadec-Klee property (LUKK) and modulus of (LUKK) ⋮ Normal structure and moduli of UKK, NUC, and UKK* in Banach spaces ⋮ Geometric constants concerning metric fixed point theory: Finite or infinite dimensional character ⋮ Infinite Dimensional Geometric Properties of Real Interpolation Spaces ⋮ On drop property and nearly uniformly smooth banach spaces ⋮ Some Geometric Characterizations of a Fractional Banach Set

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