ISSN:
1573-2878
Keywords:
Nonlinear optimization
;
parametric programming
;
stability of solutions
;
optimal control
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper considers a class of nonlinear differentiable optimization problems depending on a parameter. We show that, if constraint regularity, a second-order sufficient optimality condition, and a stability condition for the Lagrange multipliers hold, then for sufficiently smooth perturbations of the constraints and the objective function the optimal solutions locally obey a type of Lipschitz condition. The results are applied to finite-dimensional problems, equality constrained problems, and optimal control problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00941297
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