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A duality framework in quasiconvex programming. (English) Zbl 0538.90073

Generalized concavity in optimization and economics, Proc. NATO Adv. Study Inst., Vancouver/Can. 1980, 207-225 (1981).
Summary: [For the entire collection see Zbl 0534.00022.]
This paper constructs a general framework of duality which is then applied to a quasiconvex mathematical program with inequality constraints and to a generalized fractional program. Finally, the linear von Neumann model of an expanding economy is studied through this general duality framework.

MSC:

90C25 Convex programming
91B62 Economic growth models
49N15 Duality theory (optimization)
90C32 Fractional programming
90C55 Methods of successive quadratic programming type

Citations:

Zbl 0534.00022