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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 72, 2023 - Issue 3
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Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems

G. N. OgwoSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaView further author information
,
T. O. AlakoyaSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaView further author information
&
O. T. MewomoSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaCorrespondence[email protected]
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Pages 677-711 | Received 05 Apr 2021, Accepted 09 Sep 2021, Published online: 26 Sep 2021

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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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Peichao Duan & Yiqun Zhang. (2023) Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems. Optimization 72:10, pages 2517-2545.
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Articles from other publishers (27)

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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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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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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Guobing Hong, Huibing Yang, Jing Sun, Jiahui Zhang, Mente Wang & Jiaxiang Fang. (2023) Research on pure azimuth passive positioning of UAV based on iterative algorithm. Research on pure azimuth passive positioning of UAV based on iterative algorithm.
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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Oluwatosin Temitope Mewomo & Ferdinard Udochukwu Ogbuisi. (2023) An iterative technique for solving split equality monotone variational inclusion and fixed point problems. Journal of Applied Analysis 29:1, pages 187-204.
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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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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.
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Kiattiyot Juagwon & Withun Phuengrattana. (2023) Iterative approaches for solving equilibrium problems, zero point problems and fixed point problems in Hadamard spaces. Computational and Applied Mathematics 42:2.
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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.
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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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Emeka Chigaemezu Godwin, Adeolu Taiwo & Oluwatosin Temitope Mewomo. (2023) Iterative method for solving split common fixed point problem of asymptotically demicontractive mappings in Hilbert spaces. Numerical Algebra, Control and Optimization 13:2, pages 239-257.
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Mohammad Dilshad, Mohammad Akram, Md. Nasiruzzaman, Doaa Filali & Ahmed A. Khidir. (2023) Adaptive inertial Yosida approximation iterative algorithms for split variational inclusion and fixed point problems. AIMS Mathematics 8:6, pages 12922-12942.
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Mohammad Eslamian & Ahmad Kamandi. (2023) A novel algorithm for approximating common solution of a system of monotone inclusion problems and common fixed point problem. Journal of Industrial and Management Optimization 19:2, pages 868.
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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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Jamilu Abubakar, Poom Kumam, Abor Isa Garba, Abdulkarim Hassan Ibrahim & Wachirapong Jirakitpuwapat. (2022) Hybrid Iterative Scheme for Variational Inequality Problem Involving Pseudo-monotone Operator with Application in Signal Recovery. Bulletin of the Iranian Mathematical Society 48:6, pages 2995-3017.
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G. N. Ogwo, H. A. Abass, C. Izuchukwu & O. T. Mewomo. (2022) Modified Proximal Point Methods Involving Quasi-pseudocontractive Mappings in Hadamard Spaces. Acta Mathematica Vietnamica 47:4, pages 847-873.
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Akindele Adebayo Mebawondu, Chinedu Izuchukwu, Grace Nnennaya Ogwo & Oluwatosin Temitope Mewomo. (2022) Existence of solutions for boundary value problems and nonlinear matrix equations via F-contraction mappings in b-metric spaces. Asian-European Journal of Mathematics 15:11.
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Grace Nnennaya Ogwo, Chinedu Izuchukwu & Oluwatosin Temitope Mewomo. (2022) Relaxed Inertial Methods for Solving Split Variational Inequality Problems Without Product Space Formulation. Acta Mathematica Scientia 42:5, pages 1701-1733.
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Emeka Chigaemezu Godwin, Hammed Anuoluwapo Abass, Chinedu Izuchukwu & Oluwatosin Temitope Mewomo. (2021) On split equality equilibrium, monotone variational inclusion and fixed point problems in Banach spaces. Asian-European Journal of Mathematics 15:07.
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Grace N. Ogwo, Timilehin O. Alakoya & Oluwatosin T. Mewomo. (2022) Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces. Demonstratio Mathematica 55:1, pages 193-216.
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Abubakar Adamu, Duangkamon Kitkuan, Poom Kumam, Anantachai Padcharoen & Thidaporn Seangwattana. (2022) Approximation method for monotone inclusion problems in real Banach spaces with applications. Journal of Inequalities and Applications 2022:1.
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Victor Amarachi Uzor, Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2022) Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems. Open Mathematics 20:1, pages 234-257.
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Mujahid Abbas, Chinedu Izuchukwu, Abdul Rahim Khan, Oluwatosin Temitope Mewomo & Godwin C. Ugwunnadi. (2022) An iterative algorithm for minimization and fixed point problems of two families of pseudononspreading mappings in Hadamard spaces. Novi Sad Journal of Mathematics Accepted.
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Chibueze C. Okeke. (2022) An improved inertial extragradient subgradient method for solving split variational inequality problems. Boletín de la Sociedad Matemática Mexicana 28:1.
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T. O. Alakoya & O. T. Mewomo. (2022) Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems. Computational and Applied Mathematics 41:1.
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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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