On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak \(\omega\)-limit set

DOI10.1007/BF02760397zbMath0367.47037MaRDI QIDQ1242319

Ronald E. jun. Bruck

Publication date: 1978

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

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Fixed-point theorems (47H10) Special maps on metric spaces (54E40) Nonlinear operators and their properties (47H99)

Related Items

Fixed point theorems for mappings of asymptotically nonexpansive type, Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space, Constricted systems, Bounds for a nonlinear ergodic theorem for Banach spaces, Differential equations in a Banach space, Asymptotic behavior of commutative semigroups of nonexpansive mappings in Banach spaces, Weak almost periodicity and the strong ergodic limit theorem for periodic evolution systems, An ergodic theorem for asymptotically nonexpansive mappings, Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings, Fixed point iterations of generalized nonexpansive mappings, Convergence of random products of compact contractions in Hilbert space, Fixed point theorems for asymptotically nonexpansive mappings, Uniformly normal structure and uniformly Lipschitzian semigroups, Strong ergodic theorem for commutative semigroup of non-Lipschitzian mappings in multi-Banach space, A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces, Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces. II, Weak convergence theorems for nonexpansive mappings in Banach spaces, On existence of fixed points for pointwise eventually nonexpansive mappings, On the asymptotic properties of non-autonomous systems, On the asymptotic behavior of iterates of nonexpansive mappings in uniformly convex Banach spaces, A fixed point theorem for asymptotically nonexpansive mappings, On the strong convergence of the Cesaro means of contractions in Banach spaces, Some remarks on nonlinear ergodic theorems in Banach spaces, On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces, On the existence of common fixed points for a pair of Lipschitzian mappings in Banach spaces., Asymptotically invariant net and fixed point set for semigroup of nonexpansive mappings, Ergodic retractions for amenable semigroups in Banach spaces with normal structure, Strong convergence and nonlinear ergodic theorems for commutative semigroups of nonexpansive mappings, A new projection and convergence theorems for the projections in Banach spaces, Ergodic Theorems for Semigroups of Operators, Ergodic theorems for nonexpansive curves defined on general semigroups in a Hilbert space, Remarks on nonlinear ergodic theory in Hilbert space, Invariant means on bounded vector-valued functions, Weak convergence of trajectories of nonexpansive semigroups in Hilbert space, Remarks on nonlinear ergodic theory, Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces, Dirichlet summability and strong nonlinear ergodic theorems in Hilbert spaces, Asymptotic behaviour of almost nonexpansive sequences in a Hilbert space, Weak almost periodicity and the strong ergodic limit theorem for contraction semigroups, A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense, On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces, Weak convergence theorems for asymptotically nonexpansive mappings and semigroups, Asymptotic behaviour of quasi-autonomous dissipative systems in Hilbert spaces, A limit theorem for order preserving nonexpansive operators in \(L_ 1\)

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