Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON THE MAXIMAL MONOTONICITY OF SUBDIFFERENTIALS

DINH THE LUC

pp. 99-106

Abstract

We prove that a lower semicontinuous function from a Banach space to the extended real line is convex if and only if its subdifferential is monotone. A simple proof of the maximality of monotone subdifferentials is also given.