## Title data

Lempio, Frank ; Maurer, Helmut:

**Differential stability in infinite-dimensional nonlinear programming.**

*In:* Applied Mathematics and Optimization.
Vol. 6
(1980)
Issue 1
.
- pp. 139-152.

ISSN 1432-0606

DOI: https://doi.org/10.1007/BF01442889

Review: |

## Abstract in another language

In this paper stability properties of the extremal value function are studied for infinite-dimensional nonlinear optimization problems with differentiable perturbations in the objective function and in the constraints. In particular, upper and lower bounds for the directional derivative of the extremal value function as well as necessary and sufficient conditions for the existence of the directional derivative are given.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Objective function; Lower bound; System theory; Mathematical Method; Nonlinear optimization differential stability; infinite-dimensional nonlinear programming; differentiable perturbations in the objective function; necessary and sufficient conditions; existence of the directional derivative; differential perturbations in the constraints |

Subject classification: | Mathematics Subject Classification Code: 90C48 (90C30 90C31 93D99) |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 12 Feb 2021 08:34 |

Last Modified: | 20 Sep 2022 13:16 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63025 |