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Efficiency and generalised convexity in vector optimisation problems

Published online by Cambridge University Press:  17 February 2009

Pham Huu Sach ,
Gue Myung Lee  and
Do Sang Kim
Pham Huu Sach
Affiliation:
Hanoi Institute of Mathematics, P.O. Box 631, Boho, Hanoi, Vietnam; e-mail: phsach@math.ac.vn.
Gue Myung Lee
Affiliation:
Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea; e-mail: gmlee@pknu.ac.kr and dskim@pknu.ac.kr.
Do Sang Kim
Affiliation:
Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea; e-mail: gmlee@pknu.ac.kr and 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.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 4 , April 2004 , pp. 523 - 546
Copyright
Copyright © Australian Mathematical Society 2004

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