On the Maximal Monotonicity of the Sum of a Maximal Monotone Linear Relation and the Subdifferential Operator of a Sublinear Function

DOI10.1090/conm/568/11273zbMath1272.47067arXiv1001.0257OpenAlexW2141832437MaRDI QIDQ2906478

Liangjin Yao, Heinz H. Bauschke, Shawn Xianfu Wang

Publication date: 5 September 2012

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0257

zbMATH Keywords

maximal monotone operatorsubdifferential operatorsum problemmaximal monotone linear relationRockafellar constraint qualification

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41) Duality theory (optimization) (49N15) Positive linear operators and order-bounded operators (47B65) Linear relations (multivalued linear operators) (47A06)

Related Items (5)

The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n ⋮ Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator ⋮ The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone ⋮ Unnamed Item ⋮ SUM THEOREMS FOR MAXIMALLY MONOTONE OPERATORS OF TYPE (FPV)

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