Ergodic retraction theorem and weak convergence theorem for reversible semigroups of non-Lipschitzian mappings

DOI10.1007/s10114-005-0518-4zbMath1111.47052OpenAlexW2139375898MaRDI QIDQ2508554

Lu-Chuan Ceng

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0518-4

zbMATH Keywords

fixed pointuniformly convex Banach spacecontinuous representationclosed convex setergodic retractionnearly asymptotically nonexpansive mapsemitopological right reversible semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

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• Amenable semigroups
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• An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces
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• On the existence of fixed points and nonlinear ergodic retractions for Lipschitzian semigroups without convexity
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