Some remarks about strictly pseudoconvex functions with respect to the Clarke-Rockafellar subdifferential

(Lobachevskii Journal of Mathematics, Volume XXIV)

Using the notion of radially Clarke-Rockafellar subdifferentiable functions (RCRS-functions), we characterize strictly pseudoconvex functions with respect to the Clarke-Rockafellar subdifferential in two different ways, and we study a maximization problem involving RCRS-strictly pseudoconvex functions over a convex set.