Asymptotic analysis in convex composite multiobjective optimization problems |
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Authors: | Zhe Chen |
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Institution: | 1. Research Center for Contemporary Management, School of Economics and Management, Beijing, 100084, China 2. Business School, Sichuan University, Chengdu, 610064, China
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Abstract: | 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. |
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