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ISSN: 2333-9721
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ON STRICTLY EFFICIENT POINTS OF A SET IN A NORMED LINEAR SPACE
赋范线性空间集合的严有效点

Keywords: Base of ordered cones,Borwein super efficient points,strictly efficient points
序锥的基
,Borwein超有效点,严有效点

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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.

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