The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (1017 KB) | Metadata | Table of Contents | ZAA summary
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