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On the Convergence of the Products of Firmly 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/10.1007/978-3-0348-6253-0_7openalex-snapshot
Rate of Convergence of the Method of Alternating Projections
inferredcites →https://doi.org/10.1007/bf00939552openalex-snapshot
Strong convergence of projection-like methods in Hilbert spaces
inferredcites →https://doi.org/10.1007/bf01436376openalex-snapshot
Projection method for solving a singular system of linear equations and its applications
inferredcites →https://doi.org/10.1007/bf01581028openalex-snapshot
On the non-polynomiality of the relaxation method for systems of linear inequalities
inferredcites →https://doi.org/10.1007/bf02591886openalex-snapshot
Convergence of the cyclical relaxation method for linear inequalities
inferredcites →https://doi.org/10.1007/bf02592017openalex-snapshot
Relaxation methods for problems with strictly convex separable costs and linear constraints
inferredcites →https://doi.org/10.1007/bf02612715openalex-snapshot
Decomposition through formalization in a product space
inferredcites →https://doi.org/10.1016/0022-247x(82)90195-0openalex-snapshot
Random products of contractions in metric and Banach Spaces
inferredcites →https://doi.org/10.1057/jors.1987.94openalex-snapshot
Theory of Linear and Integer Programming
inferredcites →https://doi.org/10.1080/713820221openalex-snapshot
Image Reconstruction from Projections
inferredcites →https://doi.org/10.1090/conm/018openalex-snapshot
Fixed Points and Nonexpansive Mappings
inferredcites →https://doi.org/10.1090/conm/018/728592openalex-snapshot
Asymptotic behavior of nonexpansive mappings
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11761-0openalex-snapshot
Weak convergence of the sequence of successive approximations for nonexpansive mappings
inferredcites →https://doi.org/10.1090/s0002-9904-1977-14406-6openalex-snapshot
Practical and mathematical aspects of the problem of reconstructing objects from radiographs
inferredcites →https://doi.org/10.1090/s0002-9939-1959-0105008-8openalex-snapshot
Proximity Maps for Convex Sets
inferredcites →https://doi.org/10.1109/jqe.1987.1073296openalex-snapshot
Image recovery: Theory and application
inferredcites →https://doi.org/10.1137/0314056openalex-snapshot
Monotone Operators and the Proximal Point Algorithm
inferredcites →https://doi.org/10.1287/moor.5.3.388openalex-snapshot
The Relaxation Method for Solving Systems of Linear Inequalities
inferredcites →https://doi.org/10.1364/josa.73.000810openalex-snapshot
Signal restoration from phase by projections onto convex sets
inferredcites →https://doi.org/10.1515/9781400881895openalex-snapshot
Functional Operators (AM-21), Volume 1
inferredcites →https://doi.org/10.21136/cmj.1960.100409openalex-snapshot
On a convergence principle in the Hilbert space
inferredcites →https://doi.org/10.4153/cjm-1954-037-2openalex-snapshot
The Relaxation Method for Linear Inequalities
inferredcites →https://doi.org/10.4153/cjm-1954-038-xopenalex-snapshot
The Relaxation Method for Linear Inequalities

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-642-30901-4openalex-snapshot
Iterative Methods for Fixed Point Problems in Hilbert Spaces
inferred← citeshttps://doi.org/10.1007/978-3-642-30901-4_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-642-30901-4_2openalex-snapshot
Algorithmic Operators
inferred← citeshttps://doi.org/10.1007/978-3-642-30901-4_3openalex-snapshot
Convergence of Iterative Methods
inferred← citeshttps://doi.org/10.1007/978-3-642-30901-4_4openalex-snapshot
Algorithmic Projection Operators
inferred← citeshttps://doi.org/10.1007/978-3-642-30901-4_5openalex-snapshot
Projection Methods
inferred← citeshttps://doi.org/10.1007/bf02683333openalex-snapshot
Hilbertian Convex Feasibility Problem: Convergence of Projection Methods
inferred← citeshttps://doi.org/10.1007/s00245-011-9139-8openalex-snapshot
Finite Convergence of a Subgradient Projections Method with Expanding Controls
inferred← citeshttps://doi.org/10.1007/s10957-004-5723-2openalex-snapshot
Convergence of Sequential Parafirmly Nonexpansive Mappings in Reflexive Banach Spaces
inferred← citeshttps://doi.org/10.1007/s10957-015-0710-3openalex-snapshot
The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings
inferred← citeshttps://doi.org/10.1007/s10957-022-02028-9openalex-snapshot
Strong Convergence of Alternating Projections
inferred← citeshttps://doi.org/10.1007/s11075-005-9010-6openalex-snapshot
Extrapolation algorithm for affine-convex feasibility problems
inferred← citeshttps://doi.org/10.1007/s11228-019-00526-zopenalex-snapshot
Deep Neural Network Structures Solving Variational Inequalities
inferred← citeshttps://doi.org/10.1016/s1076-5670(08)70157-5openalex-snapshot
The Convex Feasibility Problem in Image Recovery
inferred← citeshttps://doi.org/10.1016/s1570-579x(01)80010-0openalex-snapshot
Quasi-Fejérian Analysis of Some Optimization Algorithms
inferred← citeshttps://doi.org/10.1016/s1570-579x(01)80028-8openalex-snapshot
The Hybrid Steepest Descent Method for the Variational Inequality Problem Over the Intersection of Fixed Point Sets of Nonexpansive Mappings
inferred← citeshttps://doi.org/10.1023/a:1022619318462openalex-snapshot
Generalized Bregman Projections in Convex Feasibility Problems
inferred← citeshttps://doi.org/10.1023/a:1022631928592openalex-snapshot
Convergence of Bregman Projection Methods for Solving Consistent Convex Feasibility Problems in Reflexive Banach Spaces
inferred← citeshttps://doi.org/10.1080/01630569508816635openalex-snapshot
Strong convergence of expected-projection methods in hilbert spaces
inferred← citeshttps://doi.org/10.1080/02331939608844225openalex-snapshot
Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
inferred← citeshttps://doi.org/10.1080/10556780410001654223openalex-snapshot
Non-Convex feasibility problems and proximal point methods
inferred← citeshttps://doi.org/10.1081/nfa-120003674openalex-snapshot
NON-STRICTLY CONVEX MINIMIZATION OVER THE FIXED POINT SET OF AN ASYMPTOTICALLY SHRINKING NONEXPANSIVE MAPPING
inferred← citeshttps://doi.org/10.1081/nfa-120020250openalex-snapshot
Nonstrictly Convex Minimization over the Bounded Fixed Point Set of a Nonexpansive Mapping
inferred← citeshttps://doi.org/10.1088/0266-5611/18/2/310openalex-snapshot
Iterative oblique projection onto convex sets and the split feasibility problem
inferred← citeshttps://doi.org/10.1090/s0002-9939-06-08770-3openalex-snapshot
Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
inferred← citeshttps://doi.org/10.1090/s0002-9947-1995-1257097-1openalex-snapshot
A Norm Convergence Result on Random Products of Relaxed Projections in Hilbert Space
inferred← citeshttps://doi.org/10.1109/78.330356openalex-snapshot
Inconsistent signal feasibility problems: least-squares solutions in a product space
inferred← citeshttps://doi.org/10.1109/cdc.2018.8618709openalex-snapshot
A Distributed Algorithm for Solving Linear Algebraic Equations Over Random Networks
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Constrained parallel projection methods for optimal signal estimation and design-constrained inconsistent signal feasibility problems
inferred← citeshttps://doi.org/10.1109/tac.2012.2228053openalex-snapshot
Synchronization of Coupled Discrete-Time Harmonic Oscillators With Rational Frequency
inferred← citeshttps://doi.org/10.1109/tac.2020.3004773openalex-snapshot
Distributed Algorithms for Computing a Common Fixed Point of a Group of Nonexpansive Operators
inferred← citeshttps://doi.org/10.1137/130941493openalex-snapshot
The Dual Normal CHIP and Linear Regularity for Infinite Systems of Convex Sets in Banach Spaces
inferred← citeshttps://doi.org/10.1137/s0036144593251710openalex-snapshot
On Projection Algorithms for Solving Convex Feasibility Problems
inferred← citeshttps://doi.org/10.1137/s1052623495279569openalex-snapshot
Surrogate Projection Methods for Finding Fixed Points of Firmly Nonexpansive Mappings
inferred← citeshttps://doi.org/10.1186/1687-1812-2012-43openalex-snapshot
A convergence result on random products of mappings in metric spaces
inferred← citeshttps://doi.org/10.1186/1687-1812-2012-57openalex-snapshot
A convergence result on random products of mappings in metric trees
inferred← citeshttps://doi.org/10.1515/anona-2020-0173openalex-snapshot
Solving Composite Fixed Point Problems with Block Updates
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Distributed Average Consensus over Random Networks
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An Operator Splitting View of Federated Learning
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Random Products of Quasi-Nonexpansive Mappings in Hilbert Space
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