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Approximation of fixed points of nonexpansive mappings

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What this work says

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

inferredcites →https://doi.org/10.1007/bf00251595openalex-snapshot
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in banach spaces
inferredcites →https://doi.org/10.1007/bf01446570openalex-snapshot
Hopfs ergodic theorem for nonlinear operators
inferredcites →https://doi.org/10.1016/0022-247x(80)90323-6openalex-snapshot
Strong convergence theorems for resolvents of accretive operators in Banach spaces
inferredcites →https://doi.org/10.1016/b978-0-12-085520-9.50021-6openalex-snapshot
Pointwise ergodic theorems for certain order preserving mappings in L1††Most of this work was done while the second author was visiting Ben Gurion University.
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11864-0openalex-snapshot
Fixed points of nonexpanding maps
inferredcites →https://doi.org/10.1515/9783110844641openalex-snapshot
Ergodic Theorems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Proximal point algorithms for nonsmooth convex optimization with fixed point constraints
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Viscosity methods for zeroes of accretive operators
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Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
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Attouch–Théra duality revisited: Paramonotonicity and operator splitting
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The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets
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Tikhonov regularization of monotone operator flows not only ensures strong convergence of the trajectories but also speeds up the vanishing of the residuals
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A fast Krasnosel’skiĭ-Mann-based policy iteration approach for multi-agent cooperative control systems
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Strong convergence of averaging iterations of nonexpansive nonself-mappings
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Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
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Iterative approximation of fixed points of nonexpansive mappings
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On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
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Strong convergence theorems for uniformly continuous pseudocontractive maps
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Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
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Iterative selection methods for common fixed point problems
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Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
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Characterizations of common fixed points of one-parameter nonexpansive semigroups, and convergence theorems to common fixed points
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On viscosity iterative methods for variational inequalities
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Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
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Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
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Strong convergence theorems for nonexpansive semigroup in Banach spaces
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Strong convergence of the composite Halpern iteration
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Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
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Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces
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Regularized and inertial algorithms for common fixed points of nonlinear operators
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On a hybrid method for a family of relatively nonexpansive mappings in a Banach space
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A quantitative nonlinear strong ergodic theorem for Hilbert spaces
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Effective results on compositions of nonexpansive mappings
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Quantitative results for Halpern iterations of nonexpansive mappings
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Quantitative translations for viscosity approximation methods in hyperbolic spaces
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Computational acceleration of projection algorithms for the linear best approximation problem
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General approximation solvability of a system of strongly g - r -pseudomonotonic nonlinear variational inequalities and projection methods
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Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces
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Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems
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Convergence theorems on viscosity approximation methods for a finite family of nonexpansive non-self-mappings
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Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
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Steered sequential projections for the inconsistent convex feasibility problem
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Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space
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The set of common fixed points of an n-parameter continuous semigroup of mappings
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Iterative approaches to convex feasibility problems in Banach spaces
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Strong convergence of the CQ method for fixed point iteration processes
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Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces
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Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces
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Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces
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On Reich’s strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
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Strong convergence theorems for finitely many nonexpansive mappings and applications
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Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces
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Convergence to common fixed points of averaged mappings without commutativity assumption in Hilbert spaces
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Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
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Iterative methods for strict pseudo-contractions in Hilbert spaces
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Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions
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