Weaker Constraint Qualifications in Maximal Monotonicity

DOI10.1080/01630560701190224zbMath1119.47051OpenAlexW2016154028MaRDI QIDQ3432712

Radu Ioan Boţ, Gert Wanka, Sorin-Mihai Grad

Publication date: 18 April 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701190224

zbMATH Keywords

maximal monotone operatorsubdifferentialFitzpatrick functionBrézis-Haraux-type approximation

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (6)

Autoconjugate representers for linear monotone operators ⋮ On the generalized parallel sum of two maximal monotone operators of Gossez type (D) ⋮ Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators ⋮ Characterizations of \(\varepsilon\)-duality gap statements for constrained optimization problems ⋮ About the maximal monotonicity of the generalized sum of two maximal monotone operators ⋮ An application of the bivariate inf-convolution formula to enlargements of monotone operators

Cites Work

• Unnamed Item
• Minimax monotonicity
• The relevance of convex analysis for the study of monotonicity
• The range of a monotone operator
• On the sum of monotone operators
• A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces.
• Nonlinear maximal monotone operators in Banach space
• Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
• On the range of the sum of monotone operators in general Banach spaces
• Dualization of Generalized Equations of Maximal Monotone Type

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