Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints

© 2014, Springer-Verlag Berlin Heidelberg. We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. Our main result unifies a recent KKT type theorem obtained by Lasserre for differentiable functions with a nonsmooth version due to Dutta and Lalitha.