The fixed point property for mappings admitting a center

DOI10.1016/j.na.2006.01.016zbMath1118.47043OpenAlexW1980347198MaRDI QIDQ869818

N. E. Zubov

Publication date: 9 March 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.01.016

zbMATH Keywords

fixed pointsreflexive Banach spacesuniform convexitystrict convexitynonlinear operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items

Strong and pure fixed point properties of mappings on normed spaces ⋮ Fixed point theorems for new J-type mappings in modular spaces ⋮ Endpoints of multivalued nonexpansive mappings in geodesic spaces ⋮ On asymptotic pointwise contractions in metric spaces ⋮ Proximity Point Properties for Admitting Center Maps ⋮ On perturbed hybrid steepest descent method with minimization or superiorization for subdifferentiable functions ⋮ Remarks on asymptotic centers and fixed points ⋮ A concept of convergence in geodesic spaces ⋮ Fixed points for pseudocontractive mappings on unbounded domains ⋮ General logical metatheorems for functional analysis ⋮ Invariant approximations in CAT(0) spaces ⋮ On some algorithms in Banach spaces finding fixed points of nonlinear mappings ⋮ Fixed point properties and proximinality in Banach spaces

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