Higher Order Efficiency, Saddle Point Optimality, and Duality for Vector Optimization Problems
Anjana Rani Gupta, Davinder Bhatia, Aparna Mehra · Numerical Functional Analysis and Optimization · 2007
In this paper, we intend to characterize the strict local efficient solution of order m for a vector minimization problem in terms of the vector saddle point. A new notion of strict local saddle point of higher order of the vector-valued Lagrangian function is introduced. The relationship between strict local saddle point and strict local efficient solution is derived. Lagrange duality is formulated, and duality results are presented.