On Multiple-Objective Optimization with Generalized Univexity

Abstract

A multiple-objective optimization problem involving generalized univex functions is considered. Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Mond-Weir type duality results are obtained. Further, a vector-valued Lagrangian is introduced and certain vector saddlepoint results are presented. © 1998 Academic Press.