A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense

DOI10.1006/jmaa.2000.6733zbMath0981.47037OpenAlexW1966912227MaRDI QIDQ1577966

Wiesława Kaczor, Simeon Reich, Tadeusz Kuczumow

Publication date: 18 March 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/53e22252624565520de611501224b3294494d5eb

zbMATH Keywords

\(C_0\)-semigroupKadec-Klee propertyasymptotically nonexpansive in the intermediate sensealmost orbit

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) One-parameter semigroups and linear evolution equations (47D06) Geometry and structure of normed linear spaces (46B20)

Related Items (13)

Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Banach spaces ⋮ Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space ⋮ Asymptotical smoothness and its applications ⋮ Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces ⋮ A viscosity approximation method with a weakly contractive mapping of general iterative processes for nonexpansive semigroups in Banach spaces ⋮ Generalized equilibrium problems and fixed point problems for nonexpansive semigroups in Hilbert spaces ⋮ A new composite general iterative scheme for nonexpansive semigroups in Banach spaces ⋮ A new iterative method for equilibrium problems and fixed point problems ⋮ On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces ⋮ Asymptotic behavior of bounded solutions to some second order evolution systems ⋮ General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space ⋮ Weak convergence of almost orbits of asymptotically nonexpansive commutative semigroups ⋮ Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.

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