On the domination property in vector optimization
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An example is given to show the inadequacy of the result of Ref. 1 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.
Key WordsVector maximization efficient points proper efficiency
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- 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.Google Scholar
- 2.Henig, M. I.,Existence and Characterization of Efficient Decisions with Respect to Cones, Mathematical Programming, Vol. 23, pp. 111–116, 1982.Google Scholar