The fixed point property for some generalized nonexpansive mappings and renormings

DOI10.1016/j.jmaa.2015.04.043zbMath1342.47067OpenAlexW2034998519MaRDI QIDQ2347416

Anna Betiuk-Pilarska, Domínguez Benavides, Tomás

Publication date: 27 May 2015

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.2015.04.043

zbMATH Keywords

fixed pointSchauder basisunconditional basisgeneralized nonexpansive mappingsextended unconditional basisSuzuki-type mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items

On the fixed point property for orbital contractions in Banach spaces ⋮ New fixed point tools in non-metrizable spaces ⋮ About some families of nonexpansive mappings with respect to renorming ⋮ Some results on fixed point theory for a class of generalized nonexpansive mappings ⋮ A General Approach on Picard Operators ⋮ Fixed point theorems for a class of generalized nonexpansive mappings ⋮ Some fixed point results for generalized contractions of Suzuki type in Banach spaces ⋮ Fixed point results for generalized nonexpansive and Suzuki mappings with application in \(L^1 (\Omega, \Sigma, \mu)\) ⋮ Fixed point property of Hilbert modules over finite dimensional \(\mathrm{C}^*\)-algebras

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