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On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak ω-limit set

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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On a mixing property of operators in Lp spaces
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A contribution to the theory of divergent sequences
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On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space
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Asymptotic behavior of nonlinear contraction semigroups
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Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
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Un exemple concernant le comportement asymptotique de la solution du problème dudt + ∂ϑ(μ) ∋ 0
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On the strong convergence of an averaging iteration for the solution of operator equations involving monotone operators in Hilbert space
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Nonlinear evolution equations and nonlinear ergodic theorems
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Contractions, Isometries and Some Properties of Inner-Product Spaces
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On non-expansive mappings of Banach spaces
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The solution by iteration of linear functional equations in Banach spaces
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The solution by iteration of nonlinear functional equations in Banach spaces
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Weak convergence of the sequence of successive approximations for nonexpansive mappings
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The construction of an asymptotic center with a fixed-point property
inferredcites →https://doi.org/10.1090/s0002-9904-1976-14142-0openalex-snapshot
Singular Hammerstein equations and maximal monotone operators
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Nonlinear ergodic theorems
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Fixed Point Theorems in Uniformly Convex Banach Spaces
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On the rest points of a nonlinear nonexpansive semigroup
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On the Mean Ergodic Theorem

What points at this work

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A Mean Ergodic Theorem for Nonlinear Semigroups which are Asymptotically Nonexpansive in the Intermediate Sense
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Convergence of random products of compact contractions in Hilbert space
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Differential equations in a Banach space
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On the existence of common fixed points for a pair of lipschitzian mappings in banach spaces
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Weak convergence of trajectories of nonexpansive semigroups in Hilbert space
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On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
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A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
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Weak almost periodicity and the strong ergodic limit theorem for contraction semigroups
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A limit theorem for order preserving nonexpansive operators inL 1
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On the asymptotic properties of non-autonomous systems
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On existence of fixed points for pointwise eventually nonexpansive mappings
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Strong ergodic theorem for commutative semigroup of non-Lipschitzian mappings in multi-Banach space
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Some convergence theorems for a sequence of nonexpansive mappings in a Hilbert space
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Time periodic solutions for strongly nonlinear parabolic systems with p(x)-growth conditions
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Remarks on nonlinear ergodic theory
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Almost convergence and nonlinear ergodic theorems
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Weak almost periodicity and the strong ergodic limit theorem for periodic evolution systems
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Weak convergence theorems for nonexpansive mappings in Banach spaces
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Fixed point iterations of generalized nonexpansive mappings
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Asymptotic behaviour of almost nonexpansive sequences in a Hilbert space
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Asymptotic behaviour of quasi-autonomous dissipative systems in Hilbert spaces
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Remarks on nonlinear ergodic theory in Hilbert space
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On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces
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Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings
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Fixed point theorems for asymptotically nonexpansive mappings
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Strong convergence and nonlinear ergodic theorems for commutative semigroups of nonexpansive mappings
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Asymptotic Behavior of Some Evolution Systems
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NONLINEAR SEMIGROUPS, ACCRETIVE OPERATORS, AND APPLICATIONS**Partially supported by the National Science Foundation under Grant MCS 78-02305-A02
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Fixed point theorems for mappings of asymptotically nonexpansive type
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Dirichlet summability and strong nonlinear ergodic theorems in Hilbert spaces
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Asymptotically invariant net and fixed point set for semigroup of nonexpansive mappings
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Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
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Ergodic theorems for nonexpansive curves defined on general semigroups in a Hilbert space
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Bounds for a nonlinear ergodic theorem for Banach spaces
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An ergodic theorem for asymptotically nonexpansive mappings
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Ergodic Theorems for Semigroups of Operators
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Strong ergodic theorems for commutative semigroups of operators
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Existence of ergodic retraction for noncommutative semigroups in Banach spaces
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Dynamic Opinion Aggregation: Long-Run Stability and Disagreement
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Asymptotic behavior of almost‐orbits of reversible semigroups of non‐Lipschitzian mappings in Banach spaces
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NONLINEAR ERGODIC THEOREMS FOR SEMIGROUPS OF NON-LIPSCHITZIAN MAPPINGS IN HILBERT SPACES
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NONLINEAR MEAN ERGODIC THEOREMS
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Constricted Systems
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On the asymptotic behavior of iterates of nonexpansive mappings in uniformly convex Banach spaces
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