A Duality Theorem in Multiobjective Nonlinear Programming
- 1 February 1982
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 7 (1) , 95-110
- https://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.).Keywords
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