Necessary conditions for εe-minimizers in vector optimization with empty interior ordering sets
Truong Q. Bao, S. R. Pattanaik · Optimization · 2014
In this paper, we establish new necessary conditions for -minimizers of vector optimization problems with and without geometric constraints with respect to nonconvex and nonsolid ordering sets. We use the dual-space approach based on advanced tools of variational analysis and generalized differentiation. It allows us to handle vector optimization problems without converting them to equivalent problems of scalar optimization. They are new even in vector optimization for ordering cones.