Finitely determined functions and convex optimization - Université Paris 1 Panthéon-Sorbonne Access content directly
Preprints, Working Papers, ... Year :

Finitely determined functions and convex optimization

Abstract

We study the notion of {\it finitely determined functions} defined on a topological vector space $E$ equipped with a biorthogonal system. This notion will be used to obtain a necessary and sufficient condition for a convex function to attain a minimum at some point. An application to the Karush-Kuhn-Tucker theorem will be given. For real-valued convex functions defined on a Banach space with a Schauder basis, the notion of finitely determined function coincides with the classical continuity but outside the convex case there are many finitely determined nowhere continuous functions.
Fichier principal
Vignette du fichier
Finitely_det_02_03_2019.pdf (208.68 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01713851 , version 1 (21-02-2018)

Identifiers

  • HAL Id : hal-01713851 , version 2

Cite

Mohammed Bachir, Adrien Fabre, Sebastian Tapia-Garcia. Finitely determined functions and convex optimization. 2019. ⟨hal-01713851v2⟩
293 View
401 Download

Share

Gmail Facebook Twitter LinkedIn More