Summary
In this paper several kinds of optima of a vector optimization problem are investigated; these are minimal, weakly minimal, strongly minimal and properly minimal solutions. For these optima various optimality conditions resulting from a scalarization approach are presented. Furthermore some numerical aspects are discussed.
Zusammenfassung
In dieser Arbeit werden einige Arten von Optima eines Vektoroptimierungsproblems untersucht. Es handelt sich dabei um minimale, schwach minimale, stark minimale und eigentlich minimale Lösungen. Für diese Optimalitätsbegriffe werden verschiedene Optimalitätsbedingungen vorgestellt, die sich durch Skalarisierung ergeben. Außerdem wird auf einige numerische Aspekte eingegangen.
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Parts of this paper were written when the author was a visitor at the Department of Mathematics of North Carolina State University, Raleigh, North Carolina 27695-8205, USA
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Jahn, J. Some characterizations of the optimal solutions of a vector optimization problem. OR Spektrum 7, 7–17 (1985). https://doi.org/10.1007/BF01719756
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DOI: https://doi.org/10.1007/BF01719756