Enlargements and sums of monotone operators

DOI10.1016/S0362-546X(00)00201-7zbMath1009.47041OpenAlexW2021823145WikidataQ57580561 ScholiaQ57580561MaRDI QIDQ5957792

Michel Théra, Julian Petrov Revalski

Publication date: 15 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00201-7

zbMATH Keywords

monotone operatorsubdifferential\(\varepsilon\)-enlargementBronsted-Rockafellar type theoremconvex lower semicontinuous functionsextended sumpointwise sum of two maximal monotone operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05)

Related Items (10)

Strong convergence of a hybrid projection iterative algorithm for common solutions of operator equations and of inclusion problems ⋮ Extended forward-backward algorithm ⋮ An additive subfamily of enlargements of a maximally monotone operator ⋮ Regularity and the Brøndsted-Rockafellar properties of maximal monotone operators ⋮ On the necessity of the Moreau-Rockafellar-Robinson qualification condition in Banach spaces ⋮ Minimal convex functions bounded below by the duality product ⋮ Douglas-Rachford splitting and ADMM for pathological convex optimization ⋮ An application of the bivariate inf-convolution formula to enlargements of monotone operators ⋮ Enlargements of the Moreau-Rockafellar subdifferential ⋮ Variational composition of a monotone operator and a linear mapping with applications to elliptic PDEs with singular coefficients

Cites Work

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• On minimal convex usco and maximal monotone maps
• Conditional expectations and operations derived from network connections
• Convex functions, monotone operators and differentiability
• Minimax monotonicity
• Subdifferential calculus using \(\varepsilon\)-subdifferentials
• Enlargement of monotone operators with applications to variational inequalities
• Weak solutions of evolution equations and variational sum of maximal monotone operators
• On the sum of monotone operators
• Nonlinear maximal monotone operators in Banach space
• Local boundedness of nonlinear, monotone operators
• Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
• A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities^(∗)
• On the Extensions to the Bidual of a Maximal Monotone Operator
• Local uniform boundedness principle for families of ε-monotone operators
• Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey
• Generalized sums of monotone operators
• On the Maximality of Sums of Nonlinear Monotone Operators
• On the maximality of the sum of two maximal monotone operators
• \(\varepsilon\)-subdifferentials in terms of subdifferentials

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