Regularized Kuhn-Tucker theorem for parametric convex optimization problem

In our talk we discuss recent results of V.I.Sumin (Nizhny Novgorod University) published at JCMMP (2011) and Appl. Math. (2012). In these papers the so called regularized Kuhn-Tucker theorem is reported for parametric convex optimization problem. A novel approach for robust approximate solution to the optimization problem is given using the minimum of the Lagrange function without regularity assumptions.