New Stability Results for Ekeland’s Variational Principles for Vector-Valued and Set-Valued Maps

In this paper, we discuss the stability of Ekeland’s variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty. We provide a new approach to the study of the stability of Ekeland’s variational principles for vector-valued and set-valued maps without scalarization