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On various duality theorems for second order duality in nonlinear programming. (English) Zbl 0622.90068

The authors establish second order duality results of Mangasarian (in weak and strong forms) for a class of minimization problems involving the so-called pseudo-bonvex and quasi-bonvex functions in \(R^ n\).
Reviewer: C.Zălinscu

MSC:

90C30 Nonlinear programming
49N15 Duality theory (optimization)
26B25 Convexity of real functions of several variables, generalizations
49M37 Numerical methods based on nonlinear programming
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