In this paper we extend some well known properties of monotone and maximal monotone operators to the wider class of e-monotone and maximal e-monotone operators. The main results concern local boundedness of maximal e-monotone operators, maximal 2e-monotonicity of the Clarke–Rockafellar subdifferential ∂CRf for an e-convex function f, and the characterization of e-monotonicity of an operator T via the behaviour of its e-Fitzpatrick function outside the graph of T.
Alizadeh, M., Bianchi, M., Pini, R. (2024). On e-monotonicity and maximality of operators in Banach spaces. JOURNAL OF GLOBAL OPTIMIZATION [10.1007/s10898-024-01435-8].
On e-monotonicity and maximality of operators in Banach spaces
Pini R.
2024
Abstract
In this paper we extend some well known properties of monotone and maximal monotone operators to the wider class of e-monotone and maximal e-monotone operators. The main results concern local boundedness of maximal e-monotone operators, maximal 2e-monotonicity of the Clarke–Rockafellar subdifferential ∂CRf for an e-convex function f, and the characterization of e-monotonicity of an operator T via the behaviour of its e-Fitzpatrick function outside the graph of T.
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Alizadeh-2024-J Global Optim-AAM.pdf
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