## Parametric optimization and related topics III |

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### Contents

A Parametric Mathematical | 9 |

On the directional derivative of a locally | 89 |

Helly Extensions | 107 |

Copyright | |

19 other sections not shown

### Common terms and phrases

algorithm analysis applied approximation assume assumption Banach space compact cone connected component consider constraint qualification continuous selection convergence convex function convex set Corollary corresponding critical point defined Definition denote derivative differentiable dimensional discretization dual problem feasible set finite G Rn global Guddat H.Th Haar condition Hence holds homeomorphic implies Jongen knapsack problem Kuhn-Tucker point Lagrange multiplier Lemma LICQ linear linearly independent Lipschitz continuous lower semicontinuous manifold Math Mathematical Programming matrix metric MFCQ minimal ellipsoid monotone Newton leaves Newton trajectory non-empty nonlinear optimization nonlinear programs norm objective function obtain optimal solutions optimization problem Parametric Optimization penalty method perturbations point of Type Proof properties Proposition regular Remark Remez algorithm resp respect satisfied Section sequence solution set space stability stationary point subset subspace Suppose Theorem 3.1 theory tion topology Twilt unique upper Lipschitz continuity variational inequalities vector zc,k zero