Approximate dual and approximate vector variational inequality for multiobjective optimization
G. -Y. Chen, B. D. Craven · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1989
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.