Asymptotic analysis in convex composite multiobjective optimization problems

Zhe Chen ()

Journal of Global Optimization, 2013, vol. 55, issue 3, 507-520

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. Copyright Springer Science+Business Media New York 2013

Keywords: Convex composite multiobjective optimization; Asymptotic analysis; Proximal-type method; Nonemptiness and compactness; Weak Pareto optimal solution; 90C25; 90C48; 90C29 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-0032-z

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