Approaching the Maximal Monotonicity of Bifunctions via Representative Functions
Radu Ioan Boţ, Sorin‐Mihai Grad · Journal of convex analysis · 2012
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 ["On the maximal monotonicity of diagonal subdifferential operators", J. Convex Analysis 18 (2011) 489–503] and, respectively, to N. Hadjisavvas and H. Khatibzadeh ["Maximal monotonicity of bifunctions", Optimization 59 (2010) 147–160], where sufficient conditions guaranteeing the maximal monotonicity of bifunctions were introduced. New results involving the sum of two monotone bifunctions are also presented.