Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology - Aix-Marseille Université Accéder directement au contenu
Article Dans Une Revue Optimization Année : 2022

Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology

Résumé

We first give a pre-order principle whose form is very general. Combining the pre-order principle and generalized Gerstewitz functions, we establish a general equilibrium version of set-valued Ekeland variational principle (denoted by EVP), where the objective function is a set-valued bimap defined on the product of quasi-metric spaces and taking values in a quasi-ordered linear space, and the perturbation consists of a subset of the ordering cone multiplied by the quasi-metric. From this, we obtain a number of new results which essentially improve the related results. Particularly, the earlier lower boundedness condition has been weakened. Finally, we apply the new EVPs to Psychology.
Fichier non déposé

Dates et versions

hal-03784742 , version 1 (23-09-2022)

Identifiants

Citer

Jing-Hui Qiu, Antoine Soubeyran, Fei He. Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology. Optimization, In press, pp.1-33. ⟨10.1080/02331934.2022.2123240⟩. ⟨hal-03784742⟩
28 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More