%0 Journal Article %@ 1060-0396 %A Ermoliev, Y. %A Norkin, V. I. %D 2003 %F iiasa:13482 %I Springer %J Cybernetics and Systems Analysis %K Nonconvex optimization problems; Nonsmooth functions; Stochastic programming; Stochastic quasigradient; Uncertainty %N 5 %P 701-715 %R 10.1023/B:CASA.0000012091.84864.65 %T Solution of Nonconvex Nonsmooth Stochastic Optimization Problems %U https://pure.iiasa.ac.at/id/eprint/13482/ %V 39 %X Different classes of nonconvex nonsmooth stochastic optimization problems are analyzed, their generalized differentiability properties and necessary optimality conditions are studied, and a technique for calculating stochastic gradients is developed. For each class of the problems, corresponding solution methods are proposed, in particular, generalizations of the stochastic quasigradient method.