Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces

zbMath1161.47034arXiv0802.1895MaRDI QIDQ5503710

Maicon Marques Alves, Benar Fux Svaiter

Publication date: 16 January 2009

Full work available at URL: https://arxiv.org/abs/0802.1895

zbMATH Keywords

convex functionmaximal monotone operatorFitzpatrick functionFitzpatrick familyBrøendsted-Rockafellar property

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (12)

On the generalized parallel sum of two maximal monotone operators of Gossez type (D) ⋮ Moreau-Yosida regularization of maximal monotone operators of type (D) ⋮ On diagonal subdifferential operators in nonreflexive Banach spaces ⋮ Variational formulation and structural stability of monotone equations ⋮ Maximal monotone inclusions and Fitzpatrick functions ⋮ Construction of pathological maximally monotone operators on non-reflexive Banach spaces ⋮ About the maximal monotonicity of the generalized sum of two maximal monotone operators ⋮ On extension results for \(n\)-cyclically monotone operators in reflexive Banach spaces ⋮ A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators ⋮ Linear monotone subspaces of locally convex spaces ⋮ An application of the bivariate inf-convolution formula to enlargements of monotone operators ⋮ On the convergence of sequence of maximal monotone operators of type (D) in Banach spaces

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