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A note on nonlinear fractional vector maximization. (English) Zbl 0676.90086

A fractional vector optimization problem with side conditions is considered, where all functions are assumed to be differentiable. Using pseudo-convexity conditions and a Lagrange-dual problem weak and strong duality theorems are proved. Then nonexistence of efficient points is linked with solvability properties of inequality systems.
Reviewer: A.Göpfert

MSC:

90C32 Fractional programming
90C31 Sensitivity, stability, parametric optimization
49N15 Duality theory (optimization)
90C30 Nonlinear programming
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