Stability of the fixed point property for Hilbert spaces

DOI10.1016/j.jmaa.2021.125849OpenAlexW3214781047MaRDI QIDQ2075186

Fernando Rambla-Barreno

Publication date: 14 February 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125849

zbMATH Keywords

nonexpansive mappingfixed point propertyhilbertizable space

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46Bxx) Nonlinear operators and their properties (47Hxx) Topological linear spaces and related structures (46Axx)

Cites Work

• Properties WORTH and WORTH\(^*\), \((1+\delta)\) embeddings in Banach spaces with 1-unconditional basis and wFPP
• Unconditional bases and fixed points of nonexpansive mappings
• La propriété du point fixe dans les espaces de Banach avec base inconditionelle. (The fixed point properties in Banach spaces with unconditional bases)
• Opial modulus and stability of the fixed point property
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• A renorming of some nonseparable Banach spaces with the fixed point property
• Remarks on the fixed point problem for nonexpansive maps
• Stability of the fixed point property of Hilbert spaces
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Stability of the fixed point property in Hilbert spaces
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