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系统科学与数学 1997
ON STRICTLY EFFICIENT POINTS OF A SET IN A NORMED LINEAR SPACE
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Abstract:
in this paper, we introduce a new concept, the strictly efficient point, in vector optimization in Banach spaces. This concept is shown to have many desirable properties and to be an extension of the super efficient point in Borwein's sense. Particularly, we show that in reasonable settings the strictly efficient points of a set are dense in the efficient points.