Approximate dual and approximate vector variational inequality for multiobjective optimization
- 1 October 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 47 (3), 418-423
- https://doi.org/10.1017/s1446788700033139
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Approximate saddle-point theorems in vector optimizationJournal of Optimization Theory and Applications, 1987
- ?-solutions in vector minimization problemsJournal of Optimization Theory and Applications, 1984