Abstract
In this article, we investigate the nonemptiness and compactness of the weak Pareto optimal solution set of a multiobjective optimization problem with functional constraints via asymptotic analysis. We then employ the obtained results to derive the necessary and sufficient conditions of the weak Pareto optimal solution set of a parametric multiobjective optimization problem. Our results improve and generalize some known results.
Acknowledgements
This work is supported by the National Science Foundation of China (11001289), the Key Project of Chinese Ministry of Education (211151), the National Science Foundation of Chongqing Science and Technology Commission (CSTC, 2011BB0118).