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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 5
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Articles

Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

Pages 1067-1078 | Received 24 Jan 2019, Accepted 17 Jun 2019, Published online: 27 Jun 2019

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Emeka C. Godwin, Timilehin O. Alakoya, Oluwatosin T. Mewomo & Jen-Chih Yao. (2023) Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems. Applicable Analysis 102:15, pages 4253-4278.
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Jun Yang, Prasit Cholamjiak & Pongsakorn Sunthrayuth. (2023) Weak and strong convergence results for solving monotone variational inequalities in reflexive Banach spaces. Optimization 72:10, pages 2609-2634.
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Bing Tan, Pongsakorn Sunthrayuth, Prasit Cholamjiak & Yeol Je Cho. (2023) Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem. International Journal of Computer Mathematics 100:3, pages 525-545.
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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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Jian-Wen Peng, Ying-Ming Qiu & Yekini Shehu. A modified Tseng's extragradient method for solving variational inequality problems. Applicable Analysis 0:0, pages 1-25.
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Min Li, Zhongbing Xie, Prasit Cholamjiak & Kunrada Kankam. (2024) Inertial iterative method for solving equilibrium problems and fixed point problems. Computational and Applied Mathematics 43:1.
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Zai-Yun Peng, Dan Li, Yong Zhao & Ren-Li Liang. (2023) An accelerated subgradient extragradient algorithm for solving bilevel variational inequality problems involving non-Lipschitz operator. Communications in Nonlinear Science and Numerical Simulation 127, pages 107549.
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Olaniyi S. Iyiola & Yekini Shehu. (2023) A fully adaptive method for variational inequalities with quasi-monotonicity. Applied Numerical Mathematics 194, pages 18-43.
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Chinedu Izuchukwu, Yekini Shehu & Jen-Chih Yao. (2022) A simple projection method for solving quasimonotone variational inequality problems. Optimization and Engineering 24:2, pages 915-938.
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Duong Viet Thong, Pham Ky Anh, Vu Tien Dung & Do Thi My Linh. (2022) A Novel Method for Finding Minimum-norm Solutions to Pseudomonotone Variational Inequalities. Networks and Spatial Economics 23:1, pages 39-64.
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Yekini Shehu, Qiao-Li Dong & Lu-Lu Liu. (2022) Fast alternated inertial projection algorithms for pseudo-monotone variational inequalities. Journal of Computational and Applied Mathematics 415, pages 114517.
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Lateef Olakunle Jolaoso, Pongsakorn Sunthrayuth, Prasit Cholamjiak & Yeol Je Cho. (2022) Analysis of two versions of relaxed inertial algorithms with Bregman divergences for solving variational inequalities. Computational and Applied Mathematics 41:7.
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Olaniyi S. Iyiola & Yekini Shehu. (2022) Inertial Version of Generalized Projected Reflected Gradient Method. Journal of Scientific Computing 93:1.
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Chinedu Izuchukwu, Yekini Shehu & Jen-Chih Yao. (2022) New inertial forward-backward type for variational inequalities with Quasi-monotonicity. Journal of Global Optimization 84:2, pages 441-464.
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Jun Yang, Huali Zhao & Min An. (2021) Weak and strong convergence results for solving inclusion problems and its applications. Journal of Applied Mathematics and Computing 68:4, pages 2803-2822.
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Yekini Shehu, Olaniyi S. Iyiola & Simeon Reich. (2021) A modified inertial subgradient extragradient method for solving variational inequalities. Optimization and Engineering 23:1, pages 421-449.
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Bing Tan, Xiaolong Qin & Jen-Chih Yao. (2021) Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems. Journal of Global Optimization 82:3, pages 523-557.
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Yonghong Yao, Olaniyi S. Iyiola & Yekini Shehu. (2022) Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities. Journal of Scientific Computing 90:2.
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G. N. Ogwo, C. Izuchukwu, Y. Shehu & O. T. Mewomo. (2021) Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems. Journal of Scientific Computing 90:1.
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Bing Tan, Songxiao Li & Xiaolong Qin. (2021) On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications. Computational and Applied Mathematics 40:7.
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Jamilu Abubakar, Poom Kumam, Habib ur Rehman & Abdulkarim Hassan Ibrahim. (2020) Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator. Mathematics 8:4, pages 609.
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Habib ur Rehman, Poom Kumam, Ioannis K. Argyros, Nasser Aedh Alreshidi, Wiyada Kumam & Wachirapong Jirakitpuwapat. (2020) A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems. Symmetry 12:4, pages 523.
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Habib ur Rehman, Poom Kumam, Ioannis K. Argyros, Wejdan Deebani & Wiyada Kumam. (2020) Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem. Symmetry 12:4, pages 503.
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Habib ur Rehman, Poom Kumam, Wiyada Kumam, Meshal Shutaywi & Wachirapong Jirakitpuwapat. (2020) The Inertial Sub-Gradient Extra-Gradient Method for a Class of Pseudo-Monotone Equilibrium Problems. Symmetry 12:3, pages 463.
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