APPROXIMATION OF NONCONVEX FUNCTIONS AND NECESSARY CONDITION OF AN EXTREMUM
Keywords:
sublinear function, Lipschitz function, local minimumAbstract
In this paper, necessary first-order extremum conditions are obtained for nonsmooth extremum problems in the presence of restrictions in a Banach space. A number of definitions of function approximation in a neighborhood of a point are considered and a number of their properties are studied.