(Generalized) bonvexity and higher order duality for fractional programming. (English) Zbl 0638.90095

Bector, C. R.; Chandra, S.

Opsearch 24, 143-154 (1987).

Dual problems associated with a primal nonlinear fractional programming problem are presented that involve second order derivatives of the functions constituting the primal problem. Duality results under the assumptions of bonvexity and generalized bonvexity on the functions involved are proved.

MSC:

90C32	Fractional programming
49N15	Duality theory (optimization)
26B25	Convexity of real functions of several variables, generalizations

Keywords:

Dual problems; primal nonlinear fractional programming; second order derivatives; bonvexity