Vector Optimization with Domination Structures: Variational Principles and Applications - Aix-Marseille Université Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Vector Optimization with Domination Structures: Variational Principles and Applications

Résumé

This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures. Motivated by theoretical challenges as well as by applications to some models in behavioral sciences, we establish new variational principles that can be viewed as far-going extensions of the Ekeland variational principle to cover domination vector settings. Our approach combines advantages of both primal and dual techniques in variational analysis with providing useful sufficient conditions for the existence of variational traps in behavioral science models with variable domination structures.
Fichier principal
Vignette du fichier
2102.08195.pdf (365.93 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03528619 , version 1 (18-07-2023)

Identifiants

Citer

Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran, Christiane Tammer. Vector Optimization with Domination Structures: Variational Principles and Applications. 2023. ⟨hal-03528619⟩
39 Consultations
15 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More