The fixed point property and the Opial condition on tree-like Banach spaces

DOI10.1216/RMJ-2015-45-4-1245zbMath1346.46015MaRDI QIDQ888119

Costas Poulios

Publication date: 4 November 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1446472434

zbMATH Keywords

normal structurefixed point propertyOpial conditionBanach spaces not containing \(l_1\) with nonseparable dualdyadic tree

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Cites Work

• Existence of fixed points of nonexpansive mappings in a space without normal structure
• On the subspaces of JF and JT with non-separable dual
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Remarks on the fixed point problem for nonexpansive maps
• A Remark on the Space of Functions of Boundedp-Variation
• James quasi reflexive space has the fixed point property
• A Fixed Point Free Nonexpansive Map
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• A counterexample to several questions about Banach spaces
• A separable somewhat reflexive Banach space with nonseparable dual
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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