On the characterization of preinvex functions. (English) Zbl 1151.90033

The authors are interested in preinvex functions, a generalization of convex functions. In previous references, semi-strictly preinvex functions and strictly preinvex functions were characterized under restrictive conditions of lower and upper semi-continuity. It is noticed that these results can be retrieved, and sometimes generalized, under weaker assumptions.


90C25 Convex programming
52A41 Convex functions and convex programs in convex geometry
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