In this paper, we establish a new version of Ekeland's variational principle in a new setting of cone pseudo-quasimetric spaces. In constrast to metric spaces, we do not require that each forward Cauchy sequence is forward convergent and that each forward convergent sequence has the unique forward limit. The motivation of this paper comes from applications in Behavioral Sciences since a cone pseudo-quasimetric helps to modelize multidimensional aspects of resistance to change for a group in a simplified but benchmark behavioral context, where each agent have his own resistance and advantage to change, and where the group has a vector of advantages and resistances to change.
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View Variational Analysis and Applications to Group Dynamics