Another proof and a generalization of a theorem of H. H. Bauschke on monotone operators

DOI10.1080/02331934.2020.1858833OpenAlexW3111012178MaRDI QIDQ5034928

M. Marques Alves

Publication date: 21 February 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1858833

zbMATH Keywords

maximal monotone operatorsoperator splitting\(\varepsilon\)-enlargementsclosedness principlepartial-inverse

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Monotone operators and generalizations (47H05)

Cites Work

• A primal-dual method of partial inverses for composite inclusions
• Partial inverse of a monotone operator
• Enlargement of monotone operators with applications to variational inequalities
• An inexact Spingarn's partial inverse method with applications to operator splitting and composite optimization
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• Projective splitting with forward steps only requires continuity
• A simplified form of block-iterative operator splitting and an asynchronous algorithm resembling the multi-block alternating direction method of multipliers
• Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions
• A survey on operator splitting and decomposition of convex programs
• A Note on the Paper by Eckstein and Svaiter on “General Projective Splitting Methods for Sums of Maximal Monotone Operators”
• Applications of the method of partial inverses to convex programming: Decomposition
• Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of their Kuhn--Tucker Set
• Forward-Douglas–Rachford splitting and forward-partial inverse method for solving monotone inclusions
• An inexact method of partial inverses and a parallel bundle method
• Convex analysis and monotone operator theory in Hilbert spaces
• A family of enlargements of maximal monotone operators

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