Set-valued variational principles. When migration improves quality of life

Majid Fakhar (1) , Mohammadreza Khodakhah (2) , Antoine Soubeyran (3) , Jafar Zafarani (1)

1 Department of Mathematics [Isfahan]
2 TVU - Technical and Vocational University
3 AMSE - Aix-Marseille Sciences Economiques

In this paper, in the context of quasi-metric spaces, we obtain two set-valued versions of the Ekeland variational-type principle by means of lower and upper set less relations, for the case where the perturbations need not satisfy the triangle inequality. An application in terms of migration problems and quality of life is given.

Mots clés: Lower and upper set less relations; Set-valued mapping; Trap; Quasi-metric space; Variational rationality

Domaines: Economies et finances

Majid Fakhar, Mohammadreza Khodakhah, Antoine Soubeyran, Jafar Zafarani. Set-valued variational principles. When migration improves quality of life. Journal of Applied and Numerical Optimization, 2022, 4 (1), ⟨10.23952/jano.4.2022.1.04⟩. ⟨hal-03659698⟩