A Duality Theorem in Multiobjective Nonlinear Programming
Hidefumi Kawasaki · Mathematics of Operations Research · 1982
We give a duality theorem in multiobjective nonlinear programming problems by means of conjugate set-valued functions which were introduced in (Kawasaki, H. 1981. Conjugate relations and weak subdifferentials of relations. Math. Oper. Res. 6 593–607.). The duality theorem is reflexive in the sense analogous to (Ekeland, I., R. Temam. 1976. Convex Analysis and Variational Problems. North-Holland, Amsterdam.).