Abstract
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-cyclically monotone and maximal cyclically monotone
bifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite
order for bifunctions.
Lingua originale | English |
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pagine (da-a) | 599-616 |
Numero di pagine | 18 |
Rivista | Journal of Global Optimization |
Volume | 2014 |
DOI | |
Stato di pubblicazione | Pubblicato - 2014 |
Keywords
- Fitzpatrick function
- Maximal monotone operator
- Monotone bifunction
- n-Cyclic monotonicity