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Approximate dual and approximate vector variational inequality for multiobjective optimization

Published online by Cambridge University Press:  09 April 2009

G.–Y. Chen  and
B. D. Craven
G.–Y. Chen
Affiliation:
Academia Sinica, Institute of Systems ScienceBeijing 100080, China
B. D. Craven
Affiliation:
Mathematics Department, University of MelbourneParkville, Victoria 3052, Australia
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Abstract

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An approximate dual is proposed for a multiobjective optimization problem. The approximate dual has a finite feasible set, and is constructed without using a perturbation. An approximate weak duality theorem and an approximate strong duality theorem are obtained, and also an approximate variational inequality condition for efficient multiobjective solutions.

MSC classification

Secondary: 90C31: Sensitivity, stability, parametric optimization
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 3 , December 1989 , pp. 418 - 423
Copyright
Copyright © Australian Mathematical Society 1989

References

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