On the structure of fixed-point sets of uniformly Lipschitzian mappings

zbMath1158.47038MaRDI QIDQ933137

Andrzej Wiśnicki, Ewa Sȩdłak

Publication date: 21 July 2008

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

fixed pointretractionuniformly convex spaceuniformly lipschitzian mapping

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)

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An extension of the contraction mapping principle to Lipschitzian mappings ⋮ On the structure of fixed-point sets of asymptotically regular semigroups ⋮ The structure of fixed-point sets of uniformly Lipschitzian semigroups ⋮ Remarks on the structure of the fixed-point sets of uniformly Lipschitzian mappings in uniformly convex Banach spaces ⋮ The methods of Hilbert spaces and structure of the fixed-point set of Lipschitzian mapping