On e-monotonicity and maximality of operators in Banach spaces

M. H. Alizadeh (), M. Bianchi () and R. Pini ()
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M. H. Alizadeh: Institute for Advanced Studies in Basic Sciences
M. Bianchi: Università Cattolica del Sacro Cuore
R. Pini: Università degli Studi di Milano-Bicocca

Journal of Global Optimization, 2025, vol. 91, issue 1, No 6, 155-170

Abstract: 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 $$\partial ^{CR}f$$ ∂ CR f 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.

Keywords: e-Monotonicity; Maximality; Generalized subdifferential; Fitzpatrick function; 47H05; 49J53; 47H04 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10898-024-01435-8

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