## Point-to-set maps and mathematical programming |

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### Contents

Background to pointtoset maps in mathematical programming | 1 |

The continuities of the pointtoset maps definitions | 8 |

General reference list | 14 |

1 Differentiable stability in non convex and non differentiable program | 29 |

2 A multivalued approach to the Farkas lemma Borwein | 42 |

applications to fixed | 48 |

y 4 Composition and union of general algorithms of optimization J Ch | 69 |

5 Modified Lagrangians in convex programming and their generaliza | 86 |

t6 Extensions of Zangwills theorem P Huard | 98 |

8 A note on the continuity of the solution set of special dual optimization | 110 |

Basic theory S M | 128 |

11 The fixed point approach to nonlinear programming R Saigal | 142 |

12 Convergence analysis for twolevel algorithms of mathematical pro | 158 |

13 A comparative study of several general convergence conditions | 172 |

Copyright | |