A Duality Theorem in Multiobjective Nonlinear Programming
Published Online:1 Feb 1982https://doi.org/10.1287/moor.7.1.95
Abstract
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.).
