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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 70, 2021 - Issue 4: Special Issue: 13th International Conference on Fixed Point Theory and its Applications 2019
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Articles

A method with inertial extrapolation step for split monotone inclusion problems

Yonghong Yaoa The Key Laboratory of Intelligent Information and Data Processing of NingXia Province, North Minzu University, Yinchuan, People's Republic of China;b School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin, People's Republic of China
,
Yekini Shehuc Department of Mathematics, Zhejiang Normal University, Jinhua, People's Republic of ChinaCorrespondence[email protected]
[email protected]
ORCID Iconhttps://orcid.org/0000-0001-9224-7139
ORCID Icon,
Xiao-Huan Lid College of Science, Civil Aviation University of China, Tianjin, People's Republic of China
&
Qiao-Li Dongd College of Science, Civil Aviation University of China, Tianjin, People's Republic of ChinaORCID Iconhttps://orcid.org/0000-0001-6765-4437
ORCID Icon
Pages 741-761 | Received 27 Jun 2019, Accepted 02 Nov 2020, Published online: 16 Dec 2020

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Renu Chugh & Nishu Gupta. (2024) Strong convergence of new split general system of monotone variational inclusion problem. Applicable Analysis 103:1, pages 138-165.
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Chinedu Izuchukwu, Simeon Reich & Yekini Shehu. (2023) Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness. Optimization 72:2, pages 607-646.
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Qiaoyuan Shu, Yibin Xiao, Rong Hu & Yu Zhao. Some well-posedness equivalent results for a generalized split variational-hemivariational inequality. Optimization 0:0, pages 1-29.
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Articles from other publishers (22)

Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2024) Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity. Acta Mathematica Sinica, English Series.
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Duong Viet Thong, Xiao-Huan Li, Simeon Reich, Qiao-Li Dong & Dang Huy Ngan. (2024) A new approach to the Korpelevich method for solving pseudomonotone equilibrium problems. Numerical Algorithms.
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Charu Batra, Renu Chugh, Rajeev Kumar, Khaled Suwais, Sally Almanasra & Nabil Mlaiki. (2024) Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application. Journal of Inequalities and Applications 2024:1.
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Mohammad Eslamian. (2024) Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces. Journal of Inequalities and Applications 2024:1.
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Kasamsuk Ungchittrakool, Somyot Plubtieng, Natthaphon Artsawang & Purit Thammasiri. (2023) Modified Mann-Type Algorithm for Two Countable Families of Nonexpansive Mappings and Application to Monotone Inclusion and Image Restoration Problems. Mathematics 11:13, pages 2927.
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Zheng Zhou, Bing Tan & Songxiao Li. (2023) Inertial algorithms with adaptive stepsizes for split variational inclusion problems and their applications to signal recovery problem. Mathematical Methods in the Applied Sciences.
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Pattanapong Tianchai. (2023) Split monotone variational inclusion with errors for image-feature extraction with multiple-image blends problem. Fixed Point Theory and Algorithms for Sciences and Engineering 2023:1.
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Pawicha Phairatchatniyom, Poom Kumam & Vasile Berinde. (2023) A modified Ishikawa iteration scheme for b$$ b $$‐enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces. Mathematical Methods in the Applied Sciences.
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H. A. Abass, G. C. Ugwunnadi & O. K. Narain. (2022) A Modified inertial Halpern method for solving split monotone variational inclusion problems in Banach Spaces. Rendiconti del Circolo Matematico di Palermo Series 2 72:3, pages 2287-2310.
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Solomon Bekele Zegeye, Habtu Zegeye, Mengstu Goa Sangago, Oganeditse A. Boikanyo & Sebsibe Teferi Woldeamanuel. (2022) An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces. Mathematical Methods in the Applied Sciences 46:2, pages 2884-2905.
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Lu-Chuan Ceng, Li-Jun Zhu & Tzu-Chien Yin. (2023) Modified subgradient extragradient algorithms for systems of generalized equilibria with constraints. AIMS Mathematics 8:2, pages 2961-2994.
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Jacob Ashiwere Abuchu, Godwin Chidi Ugwunnadi & Ojen Kumar Narain. (2023) Inertial Mann-Type iterative method for solving split monotone variational inclusion problem with applications. Journal of Industrial and Management Optimization 19:4, pages 3020-3043.
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Timilehin O. Alakoya, Victor A. Uzor, Oluwatosin T. Mewomo & Jen-Chih Yao. (2022) On a system of monotone variational inclusion problems with fixed-point constraint. Journal of Inequalities and Applications 2022:1.
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Zhong-bao Wang, Xin Long, Zhen-yin Lei & Zhang-you Chen. (2022) New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications. Communications in Nonlinear Science and Numerical Simulation 114, pages 106656.
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Zheng Zhou, Bing Tan & Songxiao Li. (2021) Adaptive hybrid steepest descent algorithms involving an inertial extrapolation term for split monotone variational inclusion problems. Mathematical Methods in the Applied Sciences 45:15, pages 8835-8853.
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Li-Jun Zhu & Tzu-Chien Yin. (2022) Tseng-Type Algorithms for the Split Variational Inclusion. Journal of Mathematics 2022, pages 1-7.
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Yanlai Song & Omar Bazighifan. (2022) Modified Inertial Subgradient Extragradient Method with Regularization for Variational Inequality and Null Point Problems. Mathematics 10:14, pages 2367.
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Li-Jun Zhu & Tzu-Chien Yin. (2022) A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities. Journal of Function Spaces 2022, pages 1-8.
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Muhammad NoorAslamAslam & Khalida NoorInayatInayat. (2022) New inertial approximation schemes for general quasi variational inclusions. Filomat 36:18, pages 6071-6084.
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Zhangsong Yao & Mihai Postolache. (2022) Algorithmic approach to the solution of pseudomonotone equilibrium problems and generalized variational inequalities. Filomat 36:12, pages 3969-3980.
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Wanna Sriprad & Somnuk Srisawat. (2021) An Iterative Method for Solving Split Monotone Variational Inclusion Problems and Finite Family of Variational Inequality Problems in Hilbert Spaces. International Journal of Mathematics and Mathematical Sciences 2021, pages 1-17.
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Li-Jun Zhu & Yeong-Cheng Liou. (2021) A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces. Axioms 10:3, pages 152.
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