The demiclosedness principle for mean nonexpansive mappings

DOI10.1016/j.jmaa.2016.03.029zbMath1341.47066OpenAlexW2299388309MaRDI QIDQ268575

Torrey M. Gallagher

Publication date: 15 April 2016

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.2016.03.029

zbMATH Keywords

fixed pointuniform convexityOpial's propertyapproximate fixed point sequencedemiclosedmean nonexpansive

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)

Related Items

Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces ⋮ The nonexpansive and mean nonexpansive fixed point properties are equivalent for affine mappings ⋮ Unnamed Item ⋮ Fixed point results for a new mapping related to mean nonexpansive mappings

Cites Work

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• Fixed point theorems for \(\alpha\)-nonexpansive mappings
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• Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A fixed point theorem for transformations whose iterates have uniform Lipschitz constant

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