Fixed Points of Averages of Resolvents: Geometry and Algorithms

DOI10.1137/110823778zbMath1263.47064arXiv1102.1478OpenAlexW2121958831MaRDI QIDQ2902868

Heinz H. Bauschke, Calvin J. S. Wylie, Shawn Xianfu Wang

Publication date: 22 August 2012

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1478

zbMATH Keywords

resolventfixed pointnonexpansive mappingHilbert spacemaximal monotone operatorprojectionfirmly nonexpansive mappingaveraged mappingleast squares solutionsnormal equationresolvent average

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings ⋮ Asymptotic behavior of compositions of under-relaxed nonexpansive operators ⋮ On the existence of minimizers of proximity functions for split feasibility problems ⋮ Compositions and averages of two resolvents: relative geometry of fixed points sets and a partial answer to a question by C.\,Byrne

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