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Sufficient conditions for invexity

Published online by Cambridge University Press:  17 April 2009

Nguyen Xuan Ha  and
Do Van Luu
Nguyen Xuan Ha
Affiliation:
Institute of Cryptographic Technology, Hanoi, Vietnam
Do Van Luu
Affiliation:
Institute of Mathematics, PO Box 631 Bo Ho, 10000 Hanoi, Vietnam
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Abstract

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In this paper, we show that the Robinson, Nguyen–Strodiot–Mifflin and Jourani constraint qualifications are sufficient conditions for invexity of constrained functions with respect to the same scale function in Lipschitzian mathematical programmings. A Kuhn-Tucker necessary optimality condition is also given under the constraint qualification on the invexity property of constrained functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 113 - 125
Copyright
Copyright © Australian Mathematical Society 2003

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