Existence of fixed points of nonexpansive mappings satisfying the Rothe condition

DOI10.1007/BF01106433zbMath0538.47032OpenAlexW2027057286MaRDI QIDQ793321

N. M. Gulevich

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01106433

zbMATH Keywords

Rothe conditionChebyshev setfixed point theory of nonexpansive mappings in Hilbert spaces

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

Set-valued nonexpansive maps satisfying the Leray-Schauder condition ⋮ Estimate of deviation of fixed points from a nonconvex set

Cites Work

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• Moons, bridges, birds … and nonexpansive mappings in Hilbert space
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION
• The solution by iteration of nonlinear functional equations in Banach spaces
• A Fixed Point Theorem for Mappings which do not Increase Distances
• A Lipschitz Condition Preserving Extension for a Vector Function

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