Upper subderivatives and generalized gradients of the marginal function ofa non-Lipschitzian program

We obtain an upper bound for the upper subderivative of the marginal functi on of an abstract parametric optimization problem when the objective functi on is lower semicontinuous. Moreover, we apply the result to a nonlinear pr ogram with right-hand side perturbations. As a result, we obtain an upper b ound for the upper subderivative of the marginal function of a nonlinear pr ogram with right-hand side perturbations, which is expressed in "dual form" in terms of appropriate Lagrange multipliers. Finally, we present conditio ns which imply that the marginal function is locally Lipschitzian.