scientific article; zbMATH DE number 1305634
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Publication:4252515
zbMath0977.47044MaRDI QIDQ4252515
Publication date: 17 June 1999
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fixed point setstrictly convexasymptotically regularnon-expansive mappingPicard iteratesRolewicz's property \((\beta)\)densely proximinalnested spheresreflexive locally uniformly convex spaces
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (6)
Convergence of iterates of nonexpansive mappings and orbits of nonexpansive semigroups ⋮ Fixed points of locally nonexpansive mappings in geodesic spaces ⋮ Some results on existence and approximation in metric fixed point theory ⋮ Proximinality in geodesic spaces ⋮ A new metastable convergence criterion and an application in the theory of uniformly convex Banach spaces ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
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