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Zeitschrift für Analysis und ihre Anwendungen

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Volume 13, Issue 4, 1994, pp. 725–738
DOI: 10.4171/ZAA/481

Published online: 1994-12-31

Derived Sets in Multiobjective Optimization

W.W. Breckner[1]

(1) University of Cluj-Napoca, Romania

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.

Keywords: Multiobjective optimization, necessary optimality conditions, derived set

Breckner W.W.: Derived Sets in Multiobjective Optimization. Z. Anal. Anwend. 13 (1994), 725-738. doi: 10.4171/ZAA/481