Vector Optimization with Domination Structures: Variational Principles and Applications

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 applications some models behavioral sciences, we establish new variational principles that can be viewed far-going extensions the Ekeland principle cover settings. Our approach combines advantages both primal and dual techniques analysis providing useful sufficient conditions for existence traps science variable