Título: Sequential Extremal Principle
Ponente: Alexander Kruger (Faculty of Mathematics and Statistics, Ton Duc Thang University)
Fecha y hora: 05/06/2025, 12:45
Inscripción online (cierre 30 minutos antes del inicio): https://forms.gle/DZkDjcaAThQJdaEe9
Lugar: Sala de Seminarios del Edificio Torretamarit (CIO) y online
Organizador: Juan Parra López
Abstract:
The conventional definition of extremality of a finite collection of sets is extended by replacing a fixed point (extremal point) in the intersection of the sets by a collection of sequences of points in the individual sets with the distances between the corresponding points tending to zero. This allows one to consider collections of un- bounded sets with empty intersection. Exploiting the ideas behind the conventional extremal principle, we derive an extended sequential version of the latter result in terms of Fréchet and Clarke normals. Sequential versions of the related concepts of stationarity, approximate stationarity and transversality of collections of sets are also studied. As an application, we establish sequential necessary conditions for minimizing (and more general firmly stationary, stationary and approximately stationary) sequences in a constrained optimization problem.