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Sufficient conditions for invexity

Published online by Cambridge University Press:  17 April 2009

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

Research Article
Copyright © Australian Mathematical Society 2003


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