Rectangularity and paramonotonicity of maximally monotone operators

DOI10.1080/02331934.2012.707653OpenAlexW2106969483MaRDI QIDQ5169439

Heinz H. Bauschke, Liangjin Yao, Shawn Xianfu Wang

Publication date: 10 July 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4220

zbMATH Keywords

adjointlinear relationrectangularnonexpansiveparamonotonemaximally monotonedisplacement mappingstar monotone

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear relations (multivalued linear operators) (47A06)

Related Items (5)

On the Range of the Douglas–Rachford Operator ⋮ Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm ⋮ The forward-backward algorithm and the normal problem ⋮ The Resolvent Average of Monotone Operators: Dominant and Recessive Properties ⋮ Attouch--Théra Duality, Generalized Cycles, and Gap Vectors

Cites Work

• The Brezis-Browder theorem in a general Banach space
• Attouch-Théra duality revisited: Paramonotonicity and operator splitting
• The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone
• An answer to S. Simons' question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator
• Image d'une somme d'opérateurs monotones et applications
• Minimax monotonicity
• An interior point method with Bregman functions for the variational inequality problem with paramonotone operators
• On Borwein–Wiersma Decompositions of Monotone Linear Relations
• The composition of projections onto closed convex sets in Hilbert space is asymptotically regular
• Fitzpatrick Functions and Continuous Linear Monotone Operators
• An iterative solution of a variational inequality for certain monotone operators in Hilbert space
• An Introduction to Banach Space Theory
• Convex analysis and monotone operator theory in Hilbert spaces

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