J Austral Math Soc Ser A 43 pp112--117, 1987.

Proper Efficiency and Duality for Vector Valued Optimization Problems

T. Weir

(Received 19 March 1986)

Abstract

The results of Wolfe for scalar convex programming problems and some of the more recent duality results for scalar nonconvex programming problems are extended to vector valued programs. Weak duality is established using a 'Pareto' type relation between the primal and dual oobjective functions.

1980 AMS Subject Classification: primary 90C31; secondary 90C30

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Authors

T. Weir: Department of Mathematics, University College, Australian Defence Force Academy, Campbell A. C. T. 2600, Australia.

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Last Modified: Wed Feb 26 16:48:07 2003