Rates of convergence for inexact Krasnosel'skii-Mann iterations in Banach spaces
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Publication:2414905
DOI10.1007/s10107-018-1240-1zbMath1490.65099arXiv1705.09340OpenAlexW2618806879MaRDI QIDQ2414905
Matías Pavez-Signé, Mario Bravo, Roberto Cominetti
Publication date: 17 May 2019
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.09340
Iterative procedures involving nonlinear operators (47J25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- Convergence rates with inexact non-expansive operators
- Robustness of Mann's algorithm for nonexpansive mappings
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- Lectures on topics in finite element solution of elliptic problems. Notes by G. Vijayasundaram
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Sharp convergence rates for averaged nonexpansive maps
- Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
- On the rate of convergence of Krasnosel'skiĭ-Mann iterations and their connection with sums of Bernoullis
- Construction of fixed points of nonlinear mappings in Hilbert space
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
- Monotone Operators and the Proximal Point Algorithm
- Fixed Points by a New Iteration Method
- Zum Prinzip der kontraktiven Abbildung
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- The solution by iteration of nonlinear functional equations in Banach spaces
- A Fixed Point Theorem for Mappings which do not Increase Distances
- Semicontractive and semiaccretive nonlinear mappings in Banach spaces
- Several solution methods for the split feasibility problem
- Mean Value Methods in Iteration
- Convex analysis and monotone operator theory in Hilbert spaces
