Generalized concavity and duality. (English) Zbl 0538.90081

Mond, B.; Weir, T.

Generalized concavity in optimization and economics, Proc. NATO Adv. Study Inst., Vancouver/Can. 1980, 263-279 (1981).

Summary: [For the entire collection see Zbl 0534.00022.]
A number of different duals distinct from the Wolfe dual are proposed for the nonlinear programming problem. These duals allow for the weakening of the usual convexity conditions required for duality to hold. A pair of symmetric and self-dual programs under weaker convexity conditions are also given.

MSC:

90C25	Convex programming
49N15	Duality theory (optimization)
90C55	Methods of successive quadratic programming type

Keywords:

Wolfe dual; symmetric and self-dual programs; weaker convexity conditions