Characterizations of solution sets for parametric multiobjective optimization problems

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.

Keywords:

• parametric multiobjective optimization
• nonemptiness and compactness
• asymptotic analysis
• weak Pareto optimal solution

AMS Subject Classifications::

• 90C25
• 90C48
• 90C29
• 49J40

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Erratum

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).