Characterizations of fixed points of nonexpansive mappings

DOI10.1155/IJMMS.2005.1723zbMath1091.47048MaRDI QIDQ2575976

Tomonari Suzuki

Publication date: 7 December 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52483

zbMATH Keywords

fixed pointsBanach spacesOpial's conditionnonexpansive mappingsBanach limit

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

A fixed-point characterization of weak compactness in Banach spaces with unconditional Schauder basis ⋮ Characterizations of common fixed points of one-parameter nonexpansive semigroups, and convergence theorems to common fixed points ⋮ The fixed point property under renorming in some classes of Banach spaces ⋮ On a connection between the fixed point property and \(L^{\infty}(\Omega,\Sigma,\mu)\) ⋮ A characterization of the minimal invariant sets of Alspach's mapping ⋮ Weak compactness is not equivalent to the fixed point property in \(c\)

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