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

DOI10.1016/j.amc.2009.01.037zbMath1162.90551OpenAlexW1977525233MaRDI QIDQ1021502

Zhe Chen, Xue-wen Liu, Ke Quan Zhao, Chang-He Xiang

Publication date: 8 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.037

zbMATH Keywords

asymptotic coneweak Pareto optimal solutionasymptotic functionmultiobjective optimization problemTikhonov-type regularization algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29)

Related Items (9)

A Tikhonov regularized penalty function approach for solving polylinear programming problems ⋮ A predictor-corrector iterated Tikhonov regularization for linear ill-posed inverse problems ⋮ Memory gradient method for multiobjective optimization ⋮ Generalized proximal point algorithms for multiobjective optimization problems ⋮ An algorithm for vector optimization problems ⋮ On a generalization of Regińska's parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization ⋮ Tikhonov-type regularization method for efficient solutions in vector optimization ⋮ Generalized viscosity approximation methods in multiobjective optimization problems ⋮ Convergence of the projected gradient method for quasiconvex multiobjective optimization

Cites Work

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• A projected gradient method for vector optimization problems
• Approximate proximal methods in vector optimization
• Vector optimization. Set-valued and variational analysis.
• Monotone Operators and the Proximal Point Algorithm
• Noncoercive Optimization Problems
• Variational Analysis
• Proximal Methods in Vector Optimization

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