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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 70, 2021 - Issue 9
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Articles

On the optimal relaxation parameters of Krasnosel'ski–Mann iteration

Songnian HeTianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin, People's Republic of ChinaView further author information
,
Qiao-Li DongTianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin, People's Republic of ChinaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-6765-4437View further author information
ORCID Icon,
Hanlin TianTianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin, People's Republic of ChinaView further author information
&
Xiao-Huan LiTianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin, People's Republic of ChinaView further author information
Pages 1959-1986 | Received 16 May 2018, Accepted 05 May 2020, Published online: 21 May 2020

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Xiaoxiao Li, Qiao-Li Dong & Aviv Gibali. Splitting algorithms for solving state-dependent maximal monotone inclusion problems. Optimization 0:0, pages 1-24.
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Articles from other publishers (7)

Kaiwich Baewnoi, Damrongsak Yambangwai & Tanakit Thianwan. (2024) A novel algorithm with an inertial technique for fixed points of nonexpansive mappings and zeros of accretive operators in Banach spaces. AIMS Mathematics 9:3, pages 6424-6444.
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Songnian He, Hong-Kun Xu, Qiao-Li Dong & Na Mei. (2023) Convergence analysis of the Halpern iteration with adaptive anchoring parameters. Mathematics of Computation 93:345, pages 327-345.
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Amit Gangwar, Anita Tomar, Mohammad Sajid & R.C. Dimri. (2023) Common fixed points and convergence results for $ \alpha $-Krasnosel'skii mappings. AIMS Mathematics 8:4, pages 9911-9923.
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Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos & Themistocles M. RassiasQiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos & Themistocles M. Rassias. 2022. The Krasnosel'skiĭ-Mann Iterative Method. The Krasnosel'skiĭ-Mann Iterative Method 93 107 .
Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos & Themistocles M. RassiasQiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos & Themistocles M. Rassias. 2022. The Krasnosel'skiĭ-Mann Iterative Method. The Krasnosel'skiĭ-Mann Iterative Method 49 57 .
Qiao-Li Dong, Xiao-Huan Li, Yeol Je Cho & Themistocles M. Rassias. (2021) Multi-step inertial Krasnosel’skiǐ–Mann iteration with new inertial parameters arrays. Journal of Fixed Point Theory and Applications 23:3.
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Qiao-Li Dong, Shang-Hong Ke, Yeol Je Cho & Themistocles M. Rassias. 2021. Advances in Metric Fixed Point Theory and Applications. Advances in Metric Fixed Point Theory and Applications 61 83 .

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