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

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.