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Title (deu)
Constraint qualification and the existence of multipliers for nonconvex infinite-constrained optimization problems in Banach spaces
Speaker / Lecturer
Ewa Bednarczuk
Polish Academy of Science, Warsaw
Description (deu)

In this talk we consider infinite-constrained optimization problems in Banach spaces with both equality and inequality constraints. Regularity conditions for these problems are usually expressed with the help of Robinson and Kurcyusz-Zowe constraint qualifications which are difficult to be checked and fail to hold in many practical applications. In general, Slater-type conditions and surjectivity of the derivative of active constraints imply Robinson, and Kurcyusz-Zowe regularity conditions. Our aim is to discuss regularity conditions when the derivative is not necessarily surjective.
We introduce sufficient conditions for the non-emptiness of the set of Lagrange multipliers.
Our basic tools is the rank theorem and a generalization of Lusternik's theorem. The talk is based on the joint work with Krzysztof Leśniewski and Krzysztof Rutkowski.

Keywords (deu)
One World Optimization Seminar
Subject (eng)
ÖFOS 2012 -- 101 -- Mathematics
Type (eng)
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2068556
Date created
2024-06-03
Place of creation (eng)
ESI
Duration
29 minutes 06 seconds
Content
Details
Object type
Video
Format
video/mp4
Created
03.06.2024 05:06:56
Metadata