Dini Derivatives of the Marginal Function of a Non-Lipschitzian Program
Copyright policy )Dini Derivatives of the Marginal Function of a Non-Lipschitzian Program
Summary: Upper and lower bounds are establised for the Dini directional derivatives of the marginal function of a parametric mathematical program. In this program, the equality constraint functions are assumed to be strictly differentiable, but the objective and inequality constraint functions can belong to a large class of non-Lipschitzian functions. A nonsmooth version of the Mangasarian-Fromovitz constraint qualification is also assumed. The main tool in the proofs of these bounds is the calculus of tangent cones.
Dini directional derivatives, upper and lower bounds, Nonsmooth analysis, subdifferential, differential stability, Nonlinear programming, Sensitivity, stability, parametric optimization, tangent cones, marginal function, parametric mathematical program
Dini directional derivatives, upper and lower bounds, Nonsmooth analysis, subdifferential, differential stability, Nonlinear programming, Sensitivity, stability, parametric optimization, tangent cones, marginal function, parametric mathematical program
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