Journal of Convex Analysis 29 (2022), No. 2, 571--582
Copyright Heldermann Verlag 2022
Epsilon Subdifferential Method and Integrability
Matey Konstantinov
Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria
mbkonstant@fmi.uni-sofia.bg
Nadia Zlateva
Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria
zlateva@fmi.uni-sofia.bg
We develop a novel variant of the epsilon subdifferential method and use it to give a new proof of Moreau-Rockafellar theorem that a proper lower semicontinuous convex function on Banach space is determined up to a constant by its subdifferential.
Keywords: Convex function, epsilon subdifferential, epsilon subdifferential method.
MSC: 52A41, 49J53, 26E15, 47H05.
[ Fulltext-pdf (110 KB)] for subscribers only.