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1. Convergence analysis of Tikhonov-type regularization algorithms for multiobjective optimization problems

Author

Chen, Zhe, Xiang, Changhe, Zhao, Kequan, and Liu, Xuewen

Subjects
*STOCHASTIC convergence, *ALGORITHMS, *MATHEMATICAL optimization, *PARETO optimum, *ASYMPTOTES, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we introduce a vector-valued Tikhonov-type regularization algorithm for an extended-valued multiobjective optimization problem. Under some mild conditions, we prove that any sequence generated by this algorithm converges to a weak Pareto optimal solution of the multiobjective optimization problem. Our results improve and generalize some known results. [Copyright &y& Elsevier]

Published
2009
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