Abstract

A continuous function may have several convexificators at a point. A minimal convexificator at a point is one that does not contain any other convexificator at the point. The question of finding conditions for minimal convexificators of a continuous function and also the question of guaranteeing uniqueness of minimal convexificators has, thus for, remained open. In Section 3, the authors answer this question by presenting conditions in terms of the set of extreme points for minimal convexificators and unique minimal convexificators.