scientific article; zbMATH DE number 7036242

MaRDI QIDQ4628626

Daniel Reem, Simeon Reich, Alfredo Noel Iusem

Publication date: 14 March 2019

Full work available at URL: https://arxiv.org/abs/1708.00464

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

functional equationfixed pointmonotone operatorquadratic functionLegendre-Fenchel transformpositive definiteconvex conjugationorder reversing operatorlower semicontinous proper convex function

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Convex functions and convex programs in convex geometry (52A41) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convexity of real functions of several variables, generalizations (26B25) Matrix and operator functional equations (39B42)

Related Items (2)

Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮ Duality invariant self-interactions of abelian \(p\)-forms in arbitrary dimensions

Cites Work

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• Order isomorphisms in cones and a characterization of duality for ellipsoids
• Order preserving and order reversing operators on the class of convex functions in Banach spaces
• Hidden structures in the class of convex functions and a new duality transform
• Characterization of self-polar convex functions
• The concept of duality for measure projections of convex bodies
• A characterization of the duality mapping for convex bodies
• Functional analysis, Sobolev spaces and partial differential equations
• A characterization of the support map
• Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization
• The concept of duality in convex analysis, and the characterization of the Legendre transform
• Set-valued mappings and enlargement of monotone operators.
• From Hahn--Banach to monotonicity
• Fixed Points of Generalized Conjugations
• PROJECTIONS OF LOG-CONCAVE FUNCTIONS
• Fixed points in the family of convex representations of a maximal monotone operator
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Proximité et dualité dans un espace hilbertien
• Convex Analysis
• Fixed point theorems in ordered 𝐿-spaces
• On Conjugate Convex Functions
• Convex analysis and monotone operator theory in Hilbert spaces

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