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Generalized Equations And Their Solutions, Part II: Applications To Nonlinear Programming

S. Robinson
Published 1982 · Mathematics

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We prove that if the second-order sufficient condition and constraint regularity hold at a local minimizer of a nonlinear programming problem, then for sufficiently smooth perturbations of the constraints and objective function the set of local stationary points is nonempty and continuous; further, if certain polyhedrality assumptions hold (as is usually the case in applications), then the local minimizers, the stationary points and the multipliers all obey a type of Lipschitz condition.



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