Proper efficiency and duality for vector valued optimization problems-Reference-Cited by-同舟云学术

Proper efficiency and duality for vector valued optimization problems

Published:1987-08 Issue:1 Volume:43 Page:21-34
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Weir T.,Mond B.

Abstract

AbstractThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference23 articles.

1. Concepts of proper efficiency

2. Duality in nonlinear programming and the minimax theorem

3. Conjugate Duality and Optimization

4. Duality theory in multiobjective programming

5. A duality theorem for non-linear programming

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