In this work we provide a characterization of C wedge(1,1) functions on Rn (that is, differentiable with locally Lipschitz partial derivatives)by means of second directional divided differences. In particular, we prove that the class of C wedge(1,1) functions is equivalent to the class of...

Smoothing methods, extensively used for solving mathematical programming problems and applications, are applied in this paper to approximate some optimization problems arising in the theory of generalized support vector machines. A nonlinear model, which generalizes some previous works, is...

In this paper second-order necessary optimality conditions for nonsmooth vector optimization problems are given by smooth approximations. We extend to the vector case the approach introduced by Ermoliev, Norkin and Wets to define generalized derivatives for discontinuous functions as limit of...

Iterated Function Systems (IFSs) were born in mideighties as applications of the theory of discrete dynamical systems and as useful tools to build fractals and other similar sets. Some possible applications of IFSs can be found in image processing theory in the theory of stochastic growth models...