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Pre-invex functions in multiple objective optimization. (English) Zbl 0663.90087

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.
Reviewer: T.Weir

MSC:

90C31 Sensitivity, stability, parametric optimization
26B25 Convexity of real functions of several variables, generalizations
90C30 Nonlinear programming
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