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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 6: Variational Analysis and Related Topics
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Original Articles

Generalized proximal point algorithms for multiobjective optimization problems

Z. Chen Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China; Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong
,
X.X. Huang School of Economics and Business Administration, Chongqing University, Chongqing 400030, China
&
X.Q. Yang Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong KongCorrespondence[email protected]
Pages 935-949 | Received 02 Feb 2010, Accepted 01 Apr 2010, Published online: 25 Jan 2011

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João Carlos de O. Souza, João Xavier da Cruz Neto, Jurandir de Oliveira Lopes, Roberto Cristóvão Mesquita Silva & Sandro Dimy Barbosa Bitar. (2022) The proximal point method with a vectorial Bregman regularization in multiobjective DC programming. Optimization 71:1, pages 263-284.
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Ellen H. Fukuda, L. M. Graña Drummond & Fernanda M. P. Raupp. (2020) A barrier-type method for multiobjective optimization. Optimization 69:11, pages 2471-2487.
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Articles from other publishers (9)

Erik Alex Papa Quiroz, Rogério Azevedo Rocha, Paulo Oliveira & Ronaldo Gregório. (2023) Proximal algorithm with quasidistances for multiobjective quasiconvex minimization in Riemannian manifolds. RAIRO - Operations Research 57:4, pages 2301-2314.
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Peng Wang & Detong Zhu. (2021) Combined gradient methods for multiobjective optimization. Journal of Applied Mathematics and Computing 68:4, pages 2717-2741.
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Jinhua Wang, Yaohua Hu, Carisa Kwok Wai Yu, Chong Li & Xiaoqi Yang. (2019) Extended Newton Methods for Multiobjective Optimization: Majorizing Function Technique and Convergence Analysis. SIAM Journal on Optimization 29:3, pages 2388-2421.
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Sorin-Mihai Grad. 2019. Splitting Algorithms, Modern Operator Theory, and Applications. Splitting Algorithms, Modern Operator Theory, and Applications 269 308 .
Glaydston de Carvalho Bento, Orizon Pereira Ferreira, Antoine Soubeyran & Valdinês Leite de Sousa Júnior. (2018) Inexact Multi-Objective Local Search Proximal Algorithms: Application to Group Dynamic and Distributive Justice Problems. Journal of Optimization Theory and Applications 177:1, pages 181-200.
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Rogério A. Rocha, Paulo R. Oliveira, Ronaldo M. Gregório & Michael Souza. (2016) A Proximal Point Algorithm with Quasi-distance in Multi-objective Optimization. Journal of Optimization Theory and Applications 171:3, pages 964-979.
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Lin-chang Pu, Xue-ying Wang & Zhe Chen. (2015) Generalized proximal-type methods for weak vector variational inequality problems in Banach spaces. Fixed Point Theory and Applications 2015:1.
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Zhe Chen. (2015) Asymptotic analysis for proximal-type methods in vector variational inequality problems. Operations Research Letters 43:3, pages 226-230.
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Zhe Chen. (2013) Asymptotic analysis in convex composite multiobjective optimization problems. Journal of Global Optimization 55:3, pages 507-520.
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