J Austral Math Soc Ser A 47 pp418--423, 1989.

Approximate Dual and Approxiamte Vector Variational Inequality for Multiobjective Optimization

G.-Y. Chen and B. D. Craven

(Received 12 April 1988; revised 4 July 1988)

Abstract

An approximate dual is proposed for a multiobjective optimization problem. The approxiamte 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.

1980 AMS Subject Classification (1985 Revision): 90C31

Browse the article

Read the article in your browser. (Scale your print to fit your paper).

Authors

G.-Y. Chen: Academia Sinica, Institute of Systems Science, Beijing 100080, China.
B. D. Craven: Mathematics Department, University of Melbourne, Parkville, Victoria 3052, Australia.

Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au

Last Modified: Wed Feb 19 10:27:50 2003