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On the domination property in vector optimization. (English) Zbl 0533.90081

An example is given to show the inadequacy of the result of H. P. Benson [ibid. 39, 125-132 (1983; Zbl 0479.90075)] concerning the domination property of a convex vector maximization problem with respect to cones. A necessary and sufficient condition for the domination property to hold is supplied.

MSC:

90C31 Sensitivity, stability, parametric optimization
Full Text: DOI

References:

[1] Benson, H. P.,On a Domination Property for Vector Maximization with Respect to Cones, Journal of Optimization Theory and Applications, Vol. 39, pp. 125-132, 1983. · Zbl 0479.90075 · doi:10.1007/BF00934609
[2] Henig, M. I.,Existence and Characterization of Efficient Decisions with Respect to Cones, Mathematical Programming, Vol. 23, pp. 111-116, 1982. · Zbl 0477.90076 · doi:10.1007/BF01583782
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