Geodesic
Coderivative Characterizations of Maximal Monotonicity for Set-Valued Mappings
Journal of convex analysis, Tome 23 (2016) no. 2, pp. 461-48
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This paper concerns generalized differential characterizations of maximal monotone set-valued mappings. Using advanced tools of variational analysis, we establish coderivative criteria for maximal monotonicity of set-valued mappings, which seem to be the first infinitesimal characterizations of maximal monotonicity outside the single-valued case. We also present second-order necessary and sufficient conditions for lower-C2 functions to be convex and strongly convex. Examples are provided to illustrate the obtained results and the imposed assumptions.
Mots-clés : Maximal monotone mappings, convex lower-C2 functions, variational analysis, coderivatives, second-order subdifferentials 
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     author = {N. H. Chieu and G. M. Lee and B. S. Mordukhovich and T. T. A. Nghia},
     title = {Coderivative {Characterizations} of {Maximal} {Monotonicity} for {Set-Valued} {Mappings}},
     journal = {Journal of convex analysis},
     pages = {461--48},
     year = {2016},
     volume = {23},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a5/}
}
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N. H. Chieu; G. M. Lee; B. S. Mordukhovich; T. T. A. Nghia. Coderivative Characterizations of Maximal Monotonicity for Set-Valued Mappings. Journal of convex analysis, Tome 23 (2016) no. 2, pp. 461-48. http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a5/