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A class of nonconvex functions and mathematical programming. (English) Zbl 0639.90082
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:
90C30Nonlinear programming
49N15Duality theory (optimization)
26B25Convexity and generalizations (several real variables)
90C31Sensitivity, stability, parametric optimization