This paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. Meanwhile, we study the relations between the lexicographic saddle point and the lexicographic solution to a multiobjective programming problem.
"Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order." Abstr. Appl. Anal. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/573408