## 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

### Keywords:

second order duality results; pseudo-bonvex; quasi-bonvex