Geodesic
Approaching the Maximal Monotonicity of Bifunctions via Representative Functions
Journal of convex analysis, Tome 19 (2012) no. 3, pp. 713-724
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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.
Classification : 47H05, 42A50, 90C25
Mots-clés : Conjugate functions, subdifferentials, representative functions, maximal monotone bifunctions, maximal monotone operators 
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     author = {R. I. Bot and S.-M. Grad},
     title = {Approaching the {Maximal} {Monotonicity} of {Bifunctions} via {Representative} {Functions}},
     journal = {Journal of convex analysis},
     pages = {713--724},
     year = {2012},
     volume = {19},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_3_JCA_2012_19_3_a5/}
}
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R. I. Bot; S.-M. Grad. Approaching the Maximal Monotonicity of Bifunctions via Representative Functions. Journal of convex analysis, Tome 19 (2012) no. 3, pp. 713-724. http://geodesic.mathdoc.fr/item/JCA_2012_19_3_JCA_2012_19_3_a5/