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Proper efficiency and duality for vector valued optimization problems

Published online by Cambridge University Press:  09 April 2009

T. Weir  and
B. Mond
T. Weir
Affiliation:
Department of Mathematics, University College, Australian Defence Force Academy, Campbell A. C. T. 2600, Australia
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Abstract

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The duality 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 objective functions.

Keywords

vector valued programmingefficiencyproper efficiencyduality

MSC classification

Secondary: 90C31: Sensitivity, stability, parametric optimization 90C30: Nonlinear programming
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 1 , August 1987 , pp. 21 - 34
Copyright
Copyright © Australian Mathematical Society 1987

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