scientific article; zbMATH DE number 2182570
From MaRDI portal
Publication:4681438
zbMath1073.47051MaRDI QIDQ4681438
Stephen Simons, Constantin Zalinescu
Publication date: 23 June 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Banach spaceconvex analysisFitzpatrick functionFenchel duality theoremmaximal monotone multifunction
Monotone operators and generalizations (47H05) Set-valued operators (47H04) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality and reflexivity in normed linear and Banach spaces (46B10)
Related Items
The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n ⋮ A new condition for maximal monotonicity via representative functions ⋮ Maximal monotonicity criteria for the composition and the sum under weak interiority conditions ⋮ Autoconjugate representers for linear monotone operators ⋮ Monotonicity and market equilibrium ⋮ Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative ⋮ Generalized positive sets and abstract monotonicity ⋮ Minimal antiderivatives and monotonicity ⋮ Representative functions of maximally monotone operators and bifunctions ⋮ Unnamed Item ⋮ An existence result for optimal control of singular constraints involving 1-Laplacian operator ⋮ Asymptotic behavior of nonautonomous monotone and subgradient evolution equations ⋮ On the generalized parallel sum of two maximal monotone operators of Gossez type (D) ⋮ Preserving maximal monotonicity with applications in sum and composition rules ⋮ Ubiquitous subdifferentials, \(r_L\)-density and maximal monotonicity ⋮ The Brezis-Browder theorem in a general Banach space ⋮ Representable monotone operators and limits of sequences of maximal monotone operators ⋮ A stand-alone analysis of quasidensity ⋮ Some criteria for maximal abstract monotonicity ⋮ Unnamed Item ⋮ Applications of convex analysis within mathematics ⋮ A dual criterion for maximal monotonicity of composition operators ⋮ A convex-analytical approach to extension results for \(n\)-cyclically monotone operators ⋮ Quasidense monotone multifunctions ⋮ Convex analysis can be helpful for the asymptotic analysis of monotone operators ⋮ Construction of pathological maximally monotone operators on non-reflexive Banach spaces ⋮ About the maximal monotonicity of the generalized sum of two maximal monotone operators ⋮ SSDB spaces and maximal monotonicity ⋮ Maximal abstract monotonicity and generalized Fenchel's conjugation formulas ⋮ Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter ⋮ Minimal convex functions bounded below by the duality product ⋮ An application of the bivariate inf-convolution formula to enlargements of monotone operators ⋮ On the FPV property, monotone operator structure and the monotone polar of representable monotone sets ⋮ All maximal monotone operators in a Banach space are of type FPV ⋮ Enlargements of positive sets ⋮ The kernel average for two convex functions and its application to the extension and representation of monotone operators ⋮ Representation of generalized monotone multimaps ⋮ Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
