Maximal monotonicity of bifunctions via representative functions

We provide an approach to maximal monotone bifunctions based on the theory of representative functions. Thus we extend to nonreflexive Banach spaces recent results due to A.N. Iusem and, respectively, N. Hadjisavvas and H. Khatibzadeh, where sufficient conditions guaranteeing themaximal monotonicity of bifunctions were introduced. New results involving the sum of two monotone bifunctions are also presented

Keywords:

conjugate functions , subdifferentials , representative functions , maximal monotone bifunctions , maximal monotone operators