Normal structure and moduli of UKK, NUC, and UKK* in Banach spaces

DOI10.1016/j.aml.2012.01.013zbMath1260.46012OpenAlexW2037743339MaRDI QIDQ452984

Ji Gao, Satit Saejung

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.01.013

zbMATH Keywords

normal structuremodulus of NUCmodulus of UKKmodulus of UKK*uniform normal structure and ultraproduct space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (3)

Unnamed Item ⋮ Local uniform Kadec-Klee property (LUKK) and modulus of (LUKK) ⋮ Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-\(\text{UKK}^\ast\) spaces

Cites Work

• On semi-uniform Kadec-Klee Banach spaces
• Convexity conditions and normal structure of Banach spaces
• The fixed point property via dual space properties
• Some more Banach spaces with normal structure
• On asymptotic structure, the Szlenk index and UKK properties in Banach spaces
• Measures of noncompactness in metric fixed point theory
• Banach spaces which are nearly uniformly convex
• On Modulus of Noncompact Convexity and Its Properties
• Lower bounds for normal structure coefficients
• On some Banach space properties sufficient for weak normal structure and their permanence properties
• On nearly uniformly convex Banach spaces
• Moduli of Near Convexity of the Baernstein Space
• Weakly Compact Sets
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Packing and Reflexivity in Banach Spaces
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