Sufficient conditions for invexity

Sufficient conditions for invexity

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 a...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2003-08, Vol.68 (1), p.113-125
Hauptverfasser: Ha, Nguyen Xuan, Van Luu, Do
Format: Artikel
Sprache:eng
Schlagworte:
Constraints
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Zusammenfassung: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700037473