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Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces

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

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Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces
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On the range of accretive operators
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Produits infinis de resolvantes
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Strong convergence of semigroups on nonlinear contractions in Hilbert space
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On the asymptotic behavior of semigroups of nonlinear contractions in Hilbert space
inferredcites →https://doi.org/10.1016/0022-1236(78)90018-6openalex-snapshot
Iterative construction of fixed points for multivalued operators of the monotone type
inferredcites →https://doi.org/10.1016/0022-247x(74)90219-4openalex-snapshot
A strongly convergent iterative solution of 0 ϵ U(x) for a maximal monotone operator U in Hilbert space
inferredcites →https://doi.org/10.1016/0022-247x(79)90024-6openalex-snapshot
Weak convergence theorems for nonexpansive mappings in Banach spaces
inferredcites →https://doi.org/10.1016/0362-546x(78)90044-5openalex-snapshot
An iterative procedure for constructing zeros of accretive sets in Banach spaces
inferredcites →https://doi.org/10.1016/b978-0-12-434160-9.50023-0openalex-snapshot
ITERATIVE METHODS FOR ACCRETIVE SETS**Partially supported by the NSF, Grant MCS 74-07495.
inferredcites →https://doi.org/10.1016/b978-0-12-775850-3.50009-1openalex-snapshot
Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations
inferredcites →https://doi.org/10.1016/s0304-0208(08)x7125-7openalex-snapshot
Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11786-5openalex-snapshot
Nonlinear accretive operators in Banach spaces
inferredcites →https://doi.org/10.1090/s0002-9904-1973-13404-4openalex-snapshot
The iterative solution of the equation $y \in x + Tx$ for a monotone operator $T$ in Hilbert space
inferredcites →https://doi.org/10.1137/0306032openalex-snapshot
A Tight Upper Bound on the Rate of Convergence of Frank-Wolfe Algorithm
inferredcites →https://doi.org/10.1137/0314056openalex-snapshot
Monotone Operators and the Proximal Point Algorithm
inferredcites →https://doi.org/10.2307/2373376openalex-snapshot
Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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

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CONSTRUCTIVE TECHNIQUES FOR ACCRETIVE AND MONOTONE OPERATORS**Partially supported by the National Science Foundation under Grant MCS 78-02305.
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Forward-backward approximation of nonlinear semigroups in finite and infinite horizon
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Strong convergence to fixed points of an evolution subfamily
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ITERATIVE APPROXIMATIONS OF ZEROES FOR ACCRETIVE OPERATORS IN BANACH SPACES
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On computational properties of Cauchy problems generated by accretive operators
inferred← citeshttps://doi.org/10.4171/zaa/1501openalex-snapshot
Asymptotic Behavior of Inexact Infinite Products of Nonexpansive Mappings in Metric Spaces
inferred← citeshttps://doi.org/10.48550/arxiv.0904.2157openalex-snapshot
Asymptotic almost-equivalence of abstract evolution systems
inferred← citeshttps://doi.org/10.48550/arxiv.1203.1432openalex-snapshot
Firmly nonexpansive mappings in classes of geodesic spaces
inferred← citeshttps://doi.org/10.48550/arxiv.1206.5705openalex-snapshot
Variable Metric Quasi-Fejér Monotonicity
inferred← citeshttps://doi.org/10.48550/arxiv.1912.06225openalex-snapshot
Forward-backward approximation of evolution equations in finite and infinite horizon
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A NEW CONVERGENCE ANALYSIS FOR MINIMUM NORM SOLUTION OF SPLIT SYSTEM OF NONSMOOTH MINIMIZATION PROBLEMS
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On Uniform Convexity, Total Convexity and Convergence of the Proximal Point and Outer Bregman Projection Algorithms in Banach Spaces
inferred← citeshttps://doi.org/10.68381/jca17061openalex-snapshot
A Strong Convergence Theorem for Resolvents of Monotone Operators
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Evolution Equations for Maximal Monotone Operators: Asymptotic Analysis in Continuous and Discrete Time
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On the asymptotic behaviour of nonlinear contraction semigroups.
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