ANZIAM J.
45 (2004), 523-546
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Efficiency and generalised convexity in vector optimisation problems
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Pham Huu Sach
Hanoi Institute of Mathematics
P.O. Box 631
Boho, Hanoi
Vietnam
phsach@math.ac.vn
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Gue Myung Lee
Department of Applied Mathematics
Pukyong National University
Pusan 608-737
Korea
gmlee@pknu.ac.kr
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Do Sang Kim
Department of Applied Mathematics
Pukyong National University
Pusan 608-737
Korea
dskim@pknu.ac.kr
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Abstract
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This paper gives a necessary and sufficient
condition for a Kuhn-Tucker point of a
non\-smooth vector optimisation problem subject
to inequality and equality constraints to be an
efficient solution. The main tool we use is an
alternative theorem which is quite different to a
corresponding result by Xu.
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