On Borwein–Wiersma Decompositions of Monotone Linear Relations

DOI10.1137/09078016XzbMath1215.47006arXiv0912.2772MaRDI QIDQ3083303

Heinz H. Bauschke, Liangjin Yao, Shawn Xianfu Wang

Publication date: 21 March 2011

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

Full work available at URL: https://arxiv.org/abs/0912.2772

zbMATH Keywords

convex functionmaximal monotone operatormonotone operatorlinear operatoradjointsymmetric operatorlinear relationsubdifferential operatorskew operatorirreducible operatorAsplund decompositionBorwein-Wiersma decomposition

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear relations (multivalued linear operators) (47A06)

Related Items (11)

The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n ⋮ Epi-convergence: the Moreau envelope and generalized linear-quadratic functions ⋮ Monotone operator theory in convex optimization ⋮ Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations ⋮ Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm ⋮ On Douglas-Rachford operators that fail to be proximal mappings ⋮ The Brezis-Browder theorem in a general Banach space ⋮ Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality ⋮ The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone ⋮ Rectangularity and paramonotonicity of maximally monotone operators ⋮ Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter

This page was built for publication: On Borwein–Wiersma Decompositions of Monotone Linear Relations