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Zbl 0663.90087
Weir, T.; Mond, B.
Pre-invex functions in multiple objective optimization. (English)
[J] J. Math. Anal. Appl. 136, No.1, 29-38 (1988). ISSN 0022-247X

A class of functions, called pre-invex, is examined in relation to multiple objective optimization. These functions may be considered as a generalization of convexity and when differentiable are invex. It is shown that, in most places, any assumption of convexity in multiple objective optimization may be replaced by the weaker assumption of pre- invexity.
[T.Weir]

MSC 2000:: *90C31 Sensitivity, etc.
26B25 Convexity and generalizations (several real variables)
90C30 Nonlinear programming

Keywords: duality; multiple objective optimization

Cited in: Zbl 1016.90056 Zbl 0985.26007

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