Extrapolation and local acceleration of an iterative process for common fixed point problems

DOI10.1016/j.jmaa.2012.04.072zbMath1251.65081arXiv1204.4284OpenAlexW2963814579MaRDI QIDQ442508

Andrzej Cegielski, Yair Censor

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4284

zbMATH Keywords

maximal monotone operatorsHilbert spaceiterative processcommon fixed pointsquasi-nonexpansive operatorcyclic projection methodCrombez operatorscutter operatorDoS Santos local accelerationGoebel-Reich operatorslocal acceleration schemes

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

A unified treatment of some perturbed fixed point iterative methods with an infinite pool of operators ⋮ A Sequential Constraint Method for Solving Variational Inequality over the Intersection of Fixed Point Sets ⋮ Convergence of Extrapolated Dynamic StringAveraging Cutter Methods and Applications ⋮ A dynamic distributed conjugate gradient method for variational inequality problem over the common fixed-point constraints ⋮ Strict pseudocontractions and demicontractions, their properties, and applications ⋮ Extrapolated cyclic subgradient projection methods for the convex feasibility problems and their numerical behaviour ⋮ Linear convergence rates for extrapolated fixed point algorithms ⋮ Extrapolated sequential constraint method for variational inequality over the intersection of fixed-point sets ⋮ An acceleration scheme for Dykstra's algorithm ⋮ Convergence of string-averaging method for a class of operators

Cites Work

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