Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 27 (2020), No. 4, 1091--1098
Copyright Heldermann Verlag 2020

Barrier Functions in Subdifferential Theory

Milen Ivanov
Radiant Life Technologies Ltd., Nicosia, Cyprus

Nadia Zlateva
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.

[ Fulltext-pdf  (92  KB)] for subscribers only.