An application of the bivariate inf-convolution formula to enlargements of monotone operators

DOI10.1007/s11228-008-0093-9zbMath1188.47040OpenAlexW2042277485MaRDI QIDQ1005152

Ernö Robert Csetnek, Radu Ioan Boţ

Publication date: 16 March 2009

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-008-0093-9

zbMATH Keywords

enlargements of maximal monotone operatorsmaximal monotone operatorFitzpatrick functionbivariate inf-convolutionconvex function associated with a maximal monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (9)

Penalty schemes with inertial effects for monotone inclusion problems ⋮ A Hybrid Proximal-Extragradient Algorithm with Inertial Effects ⋮ On the generalized parallel sum of two maximal monotone operators of Gossez type (D) ⋮ Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems ⋮ A Tseng's type penalty scheme for solving inclusion problems involving linearly composed and parallel-sum type monotone operators ⋮ Backward penalty schemes for monotone inclusion problems ⋮ About the maximal monotonicity of the generalized sum of two maximal monotone operators ⋮ Forward-backward and Tseng's type penalty schemes for monotone inclusion problems ⋮ Enlargements of positive sets

Cites Work

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• \(\varepsilon\)-optimality conditions for composed convex optimization problems
• Enlargement of monotone operators with applications to variational inequalities
• Monotone operators representable by l.s.c. convex functions
• \(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces
• Maximal monotone operators, convex functions and a special family of enlargements
• A new condition for maximal monotonicity via representative functions
• From Hahn--Banach to monotonicity
• A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces.
• Necessary and sufficient conditions for stable conjugate duality
• On the maximal monotonicity of subdifferential mappings
• A new geometric condition for Fenchel's duality in infinite dimensional spaces
• Closedness conditions for the optimality of a family of non-convex optimization problems
• Limiting behaviour of the approximate first order and second order directional derivatives for a convex function
• Weaker Constraint Qualifications in Maximal Monotonicity
• Approaches to the Theory of Optimization
• Bounded convergence for perturbed minimization problems
• Maximal Monotonicity for the Precomposition with a Linear Operator
• Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces
• On the Subdifferentiability of Convex Functions
• Some problems about the representation of monotone operators by convex functions
• A family of enlargements of maximal monotone operators
• Enlargements and sums of monotone operators
• \(\varepsilon\)-subdifferentials in terms of subdifferentials

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