Journal of Convex Analysis 27 (2020), No. 4, 1091--1098
Copyright Heldermann Verlag 2020
Barrier Functions in Subdifferential Theory
Radiant Life Technologies Ltd., Nicosia, Cyprus
Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria
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.
Keywords: Subdifferential, monotonicity, convex function, barrier function.
MSC: 49J52, 47H05, 52A41.
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