In the present paper the theory of derived sets established by M. R. Hestenes and J. W. Nieuwenhuis for optimization problems with a real-valued objective function and a finite number of constraints is extended to multiobjective optimization problems. The main result asserts that local solutions of weak multiobjective optimization problems satisfy a multiplier rule.
Cite this article
W.W. Breckner, Derived Sets in Multiobjective Optimization. Z. Anal. Anwend. 13 (1994), no. 4, pp. 725–738DOI 10.4171/ZAA/481