On the existence of fixed points and nonlinear ergodic retractions for Lipschitzian semigroups without convexity

DOI10.1016/0362-546X(94)E0065-OzbMath0858.47035OpenAlexW2046441352MaRDI QIDQ4839258

Luchuan Zeng

Publication date: 25 March 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)e0065-o

zbMATH Keywords

meanfixed point theoremcommon fixed pointsLipschitzian semigroupsubmeans\((P)\)-propertyLipschitzian semigroups without convexitynonlinear ergodic retractionspoints with \((P)\)-property

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10)

Related Items

Uniformly normal structure and uniformly Lipschitzian semigroups ⋮ Lipschitzian semigroups in Hilbert space ⋮ Attractive point and nonlinear ergodic theorems without convexity in reflexive Banach spaces ⋮ Ergodic retraction theorem and weak convergence theorem for reversible semigroups of non-Lipschitzian mappings

Cites Work

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• A fixed point theorem for transformations whose iterates have uniform Lipschitz constant

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