Geodesic
Barrier Functions in Subdifferential Theory
Journal of convex analysis, Tome 27 (2020) no. 4, pp. 1091-1098
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We present a new method for proving Correa-Jofré-Thibault's theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functions. Barrier functions help overcome some of the main technical difficulties when working with lower semicontinuous functions.
Classification : 49J52, 47H05, 52A41
Mots-clés : Subdifferential, monotonicity, convex function, barrier function 
@article{JCA_2020_27_4_JCA_2020_27_4_a0,
     author = {M. Ivanov and N. Zlateva},
     title = {Barrier {Functions} in {Subdifferential} {Theory}},
     journal = {Journal of convex analysis},
     pages = {1091--1098},
     year = {2020},
     volume = {27},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a0/}
}
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M. Ivanov; N. Zlateva. Barrier Functions in Subdifferential Theory. Journal of convex analysis, Tome 27 (2020) no. 4, pp. 1091-1098. http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a0/