547. On Mangasarian-Fromovitz condition in smooth inifinte programming
Invited abstract in session MB-9: Generalized convexity and monotonicity 1, stream Generalized convexity and monotonicity.
Monday, 10:30-12:30Room: B100/8013
Authors (first author is the speaker)
| 1. | Krzysztof Rutkowski
|
| Institute of Mathematics, Cardinal Stefan Wyszyński University in Warsaw | |
| 2. | Ewa Bednarczuk
|
| Modelling and Optimization of Dynamical Systems, Systems Research Institute of the PAS | |
| 3. | Krzysztof Leśniewski
|
| Faculty of Mathematics and Information Science, Warsaw University of Technology |
Abstract
In this presentation we introduce a modified Mangasarian-Fromovitz condition for smooth infinite programming problem in Banach spaces under equality constraints and infinite number of inequality constraints, where the nonlinear operator defining the equality constraints has possible nonsurjective derivative at the local minimum. We will show the existence of Lagrange multipliers by using the proposed condition together with Nonlinear Farkas-Minkowski condition or weak*-closedness of Hurwicz set. At the end of the presentation we show some relationships to other conditions existing in the literature for the problem.
Keywords
- Linear and nonlinear optimization
- Semi-infinite optimization
- First-order optimization
Status: accepted
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