Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON A REPRESENTATION OF CONVEX VECTOR FUNCTIONS AND THE MAXIMAL CYCLIC MONOTONICITY OF THEIR SUBDIFFERENTIAL

PHAN NHAT TINH

pp. 183-191

Abstract

In this paper, we give a formula expressing a convex vector function as the supremum of a certain collection of affine functions and
prove the maximal cyclic monotonicity of its subdifferential.