Convergence analysis of Tikhonov-type regularization algorithms for multiobjective optimization problems |
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| Authors: | Zhe Chen Changhe Xiang Xuewen Liu |
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| Affiliation: | a Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
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| 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. |
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| Keywords: | Multiobjective optimization problem Tikhonov-type regularization algorithm Asymptotic cone Asymptotic function Weak Pareto optimal solution |
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