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Zbl 0639.90082
Weir, T.; Jeyakumar, V.
A class of nonconvex functions and mathematical programming. (English)
[J] Bull. Aust. Math. Soc. 38, No.2, 177-189 (1988). ISSN 0004-9727

Summary: A class of functions, called pre-invex, is defined. These functions are more general than convex functions and when differentiable are invex. Optimality conditions and duality theorems are given for both scalar- valued and vector-valued programs involving pre-invex functions.
MSC 2000:
*90C30 Nonlinear programming
49N15 Duality theory (optimization)
26B25 Convexity and generalizations (several real variables)
90C31 Sensitivity, etc.

Keywords: nonconvex functions; pre-invex; Optimality conditions; duality theorems; scalar-valued and vector-valued programs

Cited in: Zbl 1016.90056 Zbl 0999.49008 Zbl 0985.26007

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