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 (Formula presented.) or infinite order for bifunctions.
Alizadeh, M., Bianchi, M., Hadjisavvas, N., Pini, R. (2014). On cyclic and n-cyclic monotonicity of bifunctions. JOURNAL OF GLOBAL OPTIMIZATION, 60(4), 599-616 [10.1007/s10898-013-0113-7].
On cyclic and n-cyclic monotonicity of bifunctions
PINI, RITA
2014
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 (Formula presented.) or infinite order for bifunctions.
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