On the failure of close-to-normal structure type conditions and pathological Kannan maps

DOI10.1090/S0002-9939-96-03466-1zbMath0861.46010MaRDI QIDQ4717073

Michael A. Smyth

Publication date: 11 May 1997

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

zbMATH Keywords

close-to-normal structure type conditionsfixed point free Kannan mapnorm inseparable weakly compact subset

Mathematics Subject Classification ID

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

Related Items (2)

Some questions in metric fixed point theory, by A. W. Kirk, revisited ⋮ Normal structure and fixed point properties for some Banach algebras

Cites Work

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• Quasi-normal structures for certain spaces of operators on a Hilbert space
• Close-to-normal structure and its applications
• A Note on Asymptotic Normal Structure and Close-to-Normal Structure
• Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
• Ultraproducts in Banach space theory.
• C 1 is Uniformly Kadec-Klee
• On Kannan Maps

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