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Differentiable Perturbations of Infinite Optimization Problems

Title data

Lempio, Frank ; Maurer, H.:
Differentiable Perturbations of Infinite Optimization Problems.
In: Henn, Rudolf ; Korte, Bernhard ; Oettli, Werner (ed.): Optimization and Operations Research : Proceedings of a Workshop Held at the University of Bonn, October 2–8, 1977. - Berlin : Springer , 1978 . - pp. 181-191 . - (Lecture Notes in Economics and Mathematical Systems ; 157 )
ISBN 978-3-540-08842-4

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Abstract in another language

In this paper stability properties of the extremal value function are studied for general differentiable optimization problems with 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 book
Refereed: Yes
Subject classification: Mathematics Subject Classification Code: 90C31 (90C48 49A99)
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 08:15
Last Modified: 23 Mar 2021 09:13
URI: https://eref.uni-bayreuth.de/id/eprint/63019