Monotone Linear Relations: Maximality and Fitzpatrick Functions
From MaRDI portal
Publication:5852053
zbMath1193.47004arXiv0805.4256MaRDI QIDQ5852053
Heinz H. Bauschke, Liangjin Yao, Shawn Xianfu Wang
Publication date: 26 January 2010
Full work available at URL: https://arxiv.org/abs/0805.4256
Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Convexity of real functions of several variables, generalizations (26B25) Linear relations (multivalued linear operators) (47A06)
Related Items (20)
New results on \(q\)-positivity ⋮ Roots of the identity operator and proximal mappings: (Classical and phantom) cycles and gap vectors ⋮ An answer to S. Simons' question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator ⋮ The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n ⋮ Epi-convergence: the Moreau envelope and generalized linear-quadratic functions ⋮ Autoconjugate representers for linear monotone operators ⋮ Monotonicity and market equilibrium ⋮ CHARACTERIZATION OF APPROXIMATE MONOTONE OPERATORS ⋮ Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations ⋮ The Brezis-Browder theorem in a general Banach space ⋮ Representable monotone operators and limits of sequences of maximal monotone operators ⋮ Subgradient projectors: extensions, theory, and characterizations ⋮ 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 ⋮ Applications of convex analysis within mathematics ⋮ On extension results for \(n\)-cyclically monotone operators in reflexive Banach spaces ⋮ Linear monotone subspaces of locally convex spaces ⋮ Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter ⋮ Limits of maximal monotone operators driven by their representative functions ⋮ Remarks on p-cyclically monotone operators
This page was built for publication: Monotone Linear Relations: Maximality and Fitzpatrick Functions
