On cyclic and n-cyclic monotonicity of bifunctions
- Resource Type
- Authors
- Monica Bianchi; M. H. Alizadeh; Nicolas Hadjisavvas; Rita Pini
- Source
- Subject
- Mathematics::Functional Analysis
Control and Optimization
Quantitative Biology::Molecular Networks
Applied Mathematics
Mathematics::Optimization and Control
Monotonic function
Function (mathematics)
Monotone bifunction
Management Science and Operations Research
maximal monotone operator
Settore MAT/05 - ANALISI MATEMATICA
Computer Science Applications
Combinatorics
Monotone polygon
n-cyclic monotonicity
cyclically monotone bifunction
Order (group theory)
SECS-S/06 - METODI MATEMATICI DELL'ECONOMIA E DELLE SCIENZE ATTUARIALI E FINANZIARIE
Connection (algebraic framework)
Mathematics
Fitzpatrick function
- Language
- English
In the recent literature, the connection between maximal monotone operators and the Fitzpatrick function is investigated. Subsequently, this relation has been extended to maximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize some of these results to maximal $$n$$ n -cyclically monotone and maximal cyclically monotone bifunctions, by introducing and studying the Fitzpatrick transforms of order $$n$$ n or infinite order for bifunctions.