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Approximately Efficient Solutions in Vector Optimization

✍ Scribed by Tamaki Tanaka

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
596 KB
Volume
5
Category
Article
ISSN
1057-9214

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✦ Synopsis

An approach to approximating solutions in vector optimization is developed for vector optimization problems with arbitrary ordering cones. This paper presents a study of approximately efficient points of a given set with respect to a convex cone in an ordered Banach space. Existence results for such approximately efficient points are obtained. A domination property related to these existence results is observed and then it is proved that each element of a given set is approximated by the sum of a point in a convex cone inducing the ordering and a point in a finite set consisting of such approximately efficient points of the set.

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