Characterizations and continuity properties for maximal monotone operators with non-empty domain interior

DOI10.1016/j.jmaa.2012.02.025zbMath1250.47051OpenAlexW2092729116MaRDI QIDQ413224

Mircea Dan Voisei

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.025

zbMATH Keywords

maximal monotone operatorFitzpatrick functionCesari property

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05)

Related Items (3)

Location, identification, and representability of monotone operators in locally convex spaces ⋮ Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media ⋮ Structure theory for maximally monotone operators with points of continuity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex functions, monotone operators and differentiability.
• On the maximal domain of a monotone function
• Maximal monotonicity criteria for the composition and the sum under weak interiority conditions
• A sum theorem for (FPV) operators and normal cones
• The sum and chain rules for maximal monotone operators
• A characterization of maximal monotone operators
• On property (Q) and other semi-continuity properties of multifunctions
• Minimax monotonicity
• Bounded approximants to monotone operators on Banach spaces
• Linear monotone subspaces of locally convex spaces
• From Hahn--Banach to monotonicity
• Local boundedness of nonlinear, monotone operators
• Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
• On Gossez type (D) maximal monotone operators
• Local boundedness of monotone operators under minimal hypotheses
• Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces
• Optimization and nonsmooth analysis
• Continuity of Nonlinear Monotone Operators
• Variational Analysis
• Subdifferentials Whose Graphs Are Not Norm × Weak* Closed
• Maximal monotonicity, conjugation and the duality product
• Asplund Decompositions of Monotone Operators
• Multi-Valued Monotone Nonlinear Mappings and Duality Mappings in Banach Spaces
• On the Range of a Coercive Maximal Monotone Operator in a Nonreflexive Banach Space

This page was built for publication: Characterizations and continuity properties for maximal monotone operators with non-empty domain interior