Optimality conditions at infinity in semialgebraic vector optimization

Date: 9:00 - 10:00, 02 October 2025

Venue: Room 301, A5, Institute of Mathematics

Abstract: In this talk, we establish optimality conditions for semialgebraic vector optimization problems with a situation in which generalized (weakly) nondominated points do exist but are not attained as image points of (weakly) efficient solutions. To this end, cones associated with unbounded semialgebraic sets at infinity are introduced and studied. Then optimality conditions at infinity in terms of the Newton polyhedra of the objective mappings and of the cones associated with the constraint sets at infinity for the problems in question are proposed.