  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 suficient conditions for the existence of variational
traps in behavioral science models with variable domination structures.

Optimization and Control