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Fritz-John Optimality and Duality for Non-convex Programs

✍ Scribed by Vinod Lyall; S.K. Suneja; Sunila Aggarwal

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 189 KB
Volume: 212
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5410

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we have obtained Fritz-John type necessary optimality criteria for non-linear programs under the hypotheses that the right differentials, at the optimal point, of the objective and the active constraint functions with respect to an arc are convex and the inactive constraint functions are continuous. A Mond-Weir type dual is associated and weak and strong duality results are established by assuming the functions involved to be locally P-connected. These results are further extended and necessary as well as sufficient optimality conditions are obtained for a weakly efficient solution of a multiobjective non-linear program. A proper weak minimum is defined and duality results are established by using this concept.

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