On semi strongly (E, F)-convex functions and semi strongly (E, F)-convex optimization problems
AbstractIn this paper, a new class of non-convex functions called semi strongly (E, F)-convex functions are presented. This class represents a natural extension of semi strongly E-convex functions shown in the literature. Different properties of this class of functions are discussed. Optimality properties of constrained optimization problems in which the objective function or the inequality constraints functions are semi strongly (E, F)-convex are proved for this class.