On cyclic and n-cyclic monotonicity of bifunctions

In the recent literature, the connection between maximal monotone operators and\r\nthe Fitzpatrick function is investigated. Subsequently, this relation has been extended to\r\nmaximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize\r\nsome of these results to maximal n-cyclically monotone and maximal cyclically monotone\r\nbifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite\r\norder for bifunctions.