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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 15
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Articles

Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems

Emeka C. Godwina School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaView further author information
,
Timilehin O. Alakoyaa School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaView further author information
,
Oluwatosin T. Mewomoa School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaView further author information
&
Jen-Chih Yaob Center for General Education, China Medical University, Taichung, People's Republic of ChinaCorrespondence[email protected]
[email protected]
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Pages 4253-4278 | Received 05 Oct 2021, Accepted 24 Jul 2022, Published online: 03 Aug 2022

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T. O. Alakoya & O. T. Mewomo. (2024) S-Iteration inertial subgradient extragradient method for variational inequality and fixed point problems. Optimization 73:5, pages 1477-1517.
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Madushi U. Wickramasinghe, Oluwatosin T. Mewomo, Timilehin O. Alakoya & Olaniyi S. Iyiola. (2024) Mann-type approximation scheme for solving a new class of split inverse problems in Hilbert spaces. Applicable Analysis 103:6, pages 1118-1148.
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O.T. Mewomo, R.N. Nwokoye & C.C. Okeke. Two-step inertial Tseng’s extragradient method for solving quasimonotone variational inequalities. Quaestiones Mathematicae 0:0, pages 1-39.
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Articles from other publishers (27)

O. T. Mewomo, G. N. Ogwo, T. O. Alakoya & C. Izuchukwu. (2024) Strongly convergent inertial projection and contraction methods for split variational inequality problem. Rendiconti del Circolo Matematico di Palermo Series 2.
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Oluwatosin T. Mewomo, Timilehin O. Alakoya, Amara Eze & Olaniyi S. Iyiola. (2024) An inertial‐like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces. Mathematical Methods in the Applied Sciences.
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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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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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Jacob A. Abuchu, Austine E. Ofem, Hüseyin Işık, Godwin C. Ugwunnadi & Ojen K. Narain. (2024) Modified inertial viscosity extrapolation method for solving quasi-monotone variational inequality and fixed point problems in real Hilbert spaces. Journal of Inequalities and Applications 2024:1.
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Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2024) Strong Convergent Inertial Two-subgradient Extragradient Method for Finding Minimum-norm Solutions of Variational Inequality Problems. Networks and Spatial Economics.
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Oluwatosin T. Mewomo, Grace N. Ogwo & Timilehin O. Alakoya. (2024) Strong convergent algorithm for finding minimum-norm solutions of quasimonotone variational inequalities with fixed point constraint and application. Computational and Applied Mathematics 43:1.
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Javad Balooee, Mihai Postolache & Yonghong Yao. (2024) System of generalized nonlinear variational-like inclusions and fixed point problems: graph convergence with an application. Rendiconti del Circolo Matematico di Palermo Series 2.
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Austine Efut Ofem, Jacob Ashiwere Abuchu, Godwin Chidi Ugwunnadi, Hossam A. Nabwey, Abubakar Adamu & Ojen Kumar Narain. (2024) Double inertial steps extragadient-type methods for solving optimal control and image restoration problems. AIMS Mathematics 9:5, pages 12870-12905.
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O. T. Mewomo, G. N. Ogwo & T. O. Alakoya. (2024) An Inertial Iterative Algorithm for Approximating Common Solutions to Split Equalities of Some Nonlinear Optimization Problems. Acta Mathematica Vietnamica 48:4, pages 621-650.
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V. A. Uzor, T. O. Alakoya, O. T. Mewomo & A. Gibali. (2024) Solving quasimonotone and non-monotone variational inequalities. Mathematical Methods of Operations Research 98:3, pages 461-498.
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T. O. Alakoya & O. T. Mewomo. (2023) Mann-Type Inertial Projection and Contraction Method for Solving Split Pseudomonotone Variational Inequality Problem with Multiple Output Sets. Mediterranean Journal of Mathematics 20:6.
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V. A. Uzor, O. T. Mewomo, T. O. Alakoya & A. Gibali. (2023) Outer approximated projection and contraction method for solving variational inequalities. Journal of Inequalities and Applications 2023:1.
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Omponye T. Thobogang, Habtu Zegeye & Oganeditse A. Boikanyo. (2023) An Inertial method for solutions of split equality inclusion problems. Rendiconti del Circolo Matematico di Palermo Series 2 72:7, pages 3709-3731.
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O. T. Mewomo, T. O. Alakoya & S. H. Khan. (2023) Inertial hybrid gradient method with adaptive step size for variational inequality and fixed point problems of multivalued mappings in Banach spaces. Afrika Matematika 34:3.
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Victor Amarachi Uzor, Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2023) On Split Monotone Variational Inclusion Problem with Multiple Output Sets with Fixed Point Constraints. Computational Methods in Applied Mathematics 23:3, pages 729-749.
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T. O. Alakoya, O. J. Ogunsola & O. T. Mewomo. (2023) An inertial viscosity algorithm for solving monotone variational inclusion and common fixed point problems of strict pseudocontractions. Boletín de la Sociedad Matemática Mexicana 29:2.
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Huan Zhang, Xiaolan Liu, Jia Deng & Yan Sun. (2023) An improved relaxed inertial projection algorithm for solving the minimum-norm solution of variational inequality and fixed point problems. Journal of Applied Mathematics and Computing 69:3, pages 2717-2739.
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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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E.C. Godwin, O.T. Mewomo & T.O. Alakoya. (2023) A strongly convergent algorithm for solving multiple set split equality equilibrium and fixed point problems in Banach spaces. Proceedings of the Edinburgh Mathematical Society 66:2, pages 475-515.
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Abd-Semii Oluwatosin-Enitan Owolabi, Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2023) A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems. Open Mathematics 21:1.
Crossref
Huan Zhang, Xiaolan Liu, Yan Sun & Ju Hu. (2023) An Alternated Inertial Projection Algorithm for Multi-Valued Variational Inequality and Fixed Point Problems. Mathematics 11:8, pages 1850.
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Emeka C. Godwin, Chinedu Izuchukwu & Oluwatosin T. Mewomo. (2022) Image restorations using a modified relaxed inertial technique for generalized split feasibility problems. Mathematical Methods in the Applied Sciences 46:5, pages 5521-5544.
Crossref
T. O. Alakoya, V. A. Uzor & O. T. Mewomo. (2022) A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems. Computational and Applied Mathematics 42:1.
Crossref
Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2023) A Relaxed Inertial Tseng’s Extragradient Method for Solving Split Variational Inequalities with Multiple Output Sets. Mathematics 11:2, pages 386.
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Shahram Rezapour, Maryam Iqbal, Afshan Batool, Sina Etemad & Thongchai Botmart. (2022) A new modified iterative scheme for finding common fixed points in Banach spaces: application in variational inequality problems. AIMS Mathematics 8:3, pages 5980-5997.
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H.A. AbassL. O. Jolaoso & O. T. Mewomo. (2022) Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces. Topological Algebra and its Applications 10:1, pages 167-184.
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