Asymptotic analysis in convex composite multiobjective optimization problems

作者：Chen Zhe^*

来源：Journal of Global Optimization, 2013, 55(3): 507-520.

DOI：10.1007/s10898-012-0032-z

• Convex composite multiobjective optimization
• Asymptotic analysis
• Proximal-type method
• Nonemptiness and compactness
• Weak Pareto optimal solution

In this paper, we present a unified approach for studying convex composite multiobjective optimization problems via asymptotic analysis. We characterize the nonemptiness and compactness of the weak Pareto optimal solution sets for a convex composite multiobjective optimization problem. Then, we employ the obtained results to propose a class of proximal-type methods for solving the convex composite multiobjective optimization problem, and carry out their convergence analysis under some mild conditions.

• 出版日期2013-3
• 单位四川大学