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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 1
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Original Articles

Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems

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Pages 83-102 | Received 12 Mar 2017, Accepted 29 Aug 2017, Published online: 20 Sep 2017

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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, Hongwei Liu & Zexian Liu. (2018) Modified subgradient extragradient algorithms for solving monotone variational inequalities. Optimization 67:12, pages 2247-2258.
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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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Francis O. Nwawuru, Grace N. Echezona & Christian C. Okeke. (2023) Finding a common solution of variational inequality and fixed point problems using subgradient extragradient techniques. Rendiconti del Circolo Matematico di Palermo Series 2 73:3, pages 1255-1275.
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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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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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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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Duong Viet Thong, Lu-Lu Liu, Qiao-Li Dong, Luong Van Long & Pham Anh Tuan. (2023) Fast relaxed inertial Tseng’s method-based algorithm for solving variational inequality and fixed point problems in Hilbert spaces. Journal of Computational and Applied Mathematics 418, pages 114739.
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Duong Viet Thong, Vu Tien Dung & Luong Van Long. (2022) Inertial projection methods for finding a minimum-norm solution of pseudomonotone variational inequality and fixed-point problems. Computational and Applied Mathematics 41:6.
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Tingting Cai, Dongmin Yu, Huanan Liu & Fengkai Gao. (2022) Computational Analysis of Variational Inequalities Using Mean Extra-Gradient Approach. Mathematics 10:13, pages 2318.
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Ferdinard U. Ogbuisi, Yekini Shehu & Jen-Chih Yao. (2021) An alternated inertial method for pseudomonotone variational inequalities in Hilbert spaces. Optimization and Engineering 23:2, pages 917-945.
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Gang Cai, Qiao Li Dong & Yu Peng. (2022) Inertial Viscosity Iterative Method for Solving Pseudo-monotone Variational Inequality Problems and Fixed Point Problems. Acta Mathematica Sinica, English Series 38:5, pages 937-952.
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Bing Tan, Zheng Zhou & Songxiao Li. (2021) Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems. Journal of Applied Mathematics and Computing 68:2, pages 1387-1411.
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Ha Manh Linh, Simeon Reich, Duong Viet Thong, Vu Tien Dung & Nguyen Phuong Lan. (2021) Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems. Numerical Algorithms 89:4, pages 1695-1721.
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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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Jun Yang. (2022) Projection and Contraction Methods for Solving Bilevel Pseudomonotone Variational Inequalities. Acta Applicandae Mathematicae 177:1.
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Fei Ma, Jun Yang & Min Yin. (2022) A strong convergence theorem for solving pseudo-monotone variational inequalities and fixed point problems using subgradient extragradient method in Banach spaces. AIMS Mathematics 7:4, pages 5015-5028.
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Lateef Olakunle Jolaoso, Adeolu Taiwo, Timilehin Opeyemi Alakoya, Oluwatosin Temitope Mewomo & Qiao-Li Dong. (2022) A Totally Relaxed, Self-Adaptive Subgradient Extragradient Method for Variational Inequality and Fixed Point Problems in a Banach Space. Computational Methods in Applied Mathematics 22:1, pages 73-95.
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Mohammad Eslamian. (2021) Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116:1.
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Bing Tan, Jingjing Fan & Xiaolong Qin. (2021) Inertial extragradient algorithms with non-monotonic step sizes for solving variational inequalities and fixed point problems. Advances in Operator Theory 6:4.
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Gang Cai, Qiao-Li Dong & Yu Peng. (2020) Strong convergence theorems for inertial Tseng’s extragradient method for solving variational inequality problems and fixed point problems. Optimization Letters 15:4, pages 1457-1474.
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Vasile Berinde & Cristina Ţicală. (2021) Enhancing Ant-Based Algorithms for Medical Image Edge Detection by Admissible Perturbations of Demicontractive Mappings. Symmetry 13:5, pages 885.
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Apichit Buakird, Nimit Nimana & Narin Petrot. (2021) A Mean Extragradient Method for Solving Variational Inequalities. Symmetry 13:3, pages 462.
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雲方 邓. (2021) A Modified Inertial Subgradient Extragradient Algorithm for Solving Monotone Variational Inequality Problems. Operations Research and Fuzziology 11:03, pages 336-346.
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Fei Ma. (2020) A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces. Journal of Inequalities and Applications 2020:1.
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Lateef Olakunle Jolaoso & Maggie Aphane. (2020) Strong convergence inertial projection and contraction method with self adaptive stepsize for pseudomonotone variational inequalities and fixed point problems. Journal of Inequalities and Applications 2020:1.
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C. Izuchukwu, A. A. Mebawondu & O. T. Mewomo. (2020) A new method for solving split variational inequality problems without co-coerciveness. Journal of Fixed Point Theory and Applications 22:4.
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Lateef Olakunle Jolaoso & Maggie Aphane. (2020) A Generalized Viscosity Inertial Projection and Contraction Method for Pseudomonotone Variational Inequality and Fixed Point Problems. Mathematics 8:11, pages 2039.
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Duong Viet Thong, Nguyen The Vinh & Yeol Je Cho. (2019) A strong convergence theorem for Tseng’s extragradient method for solving variational inequality problems. Optimization Letters 14:5, pages 1157-1175.
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Duong Viet Thong, Yekini Shehu & Olaniyi S. Iyiola. (2019) Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings. Numerical Algorithms 84:2, pages 795-823.
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Jun Yang, Hongwei Liu & Guaiwei Li. (2019) Convergence of a subgradient extragradient algorithm for solving monotone variational inequalities. Numerical Algorithms 84:1, pages 389-405.
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L. O. Jolaoso, A. Taiwo, T. O. Alakoya & O. T. Mewomo. (2019) A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem. Computational and Applied Mathematics 39:1.
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Duong Viet Thong & Dang Van Hieu. (2018) Some extragradient-viscosity algorithms for solving variational inequality problems and fixed point problems. Numerical Algorithms 82:3, pages 761-789.
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Duong Viet Thong, Nguyen The Vinh & Yeol Je Cho. (2019) Accelerated Subgradient Extragradient Methods for Variational Inequality Problems. Journal of Scientific Computing 80:3, pages 1438-1462.
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Duong Viet Thong & Dang Van Hieu. (2018) Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems. Numerical Algorithms 80:4, pages 1283-1307.
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Lateef Olakunle Jolaoso, Adeolu TaiwoTimilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2019) A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces. Demonstratio Mathematica 52:1, pages 183-203.
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Duong Viet Thong & Aviv Gibali. (2018) Two strong convergence subgradient extragradient methods for solving variational inequalities in Hilbert spaces. Japan Journal of Industrial and Applied Mathematics 36:1, pages 299-321.
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Duong Viet Thong & Dang Van Hieu. (2018) Modified Tseng’s extragradient algorithms for variational inequality problems. Journal of Fixed Point Theory and Applications 20:4.
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Duong Viet Thong & Dang Van Hieu. (2018) Inertial extragradient algorithms for strongly pseudomonotone variational inequalities. Journal of Computational and Applied Mathematics 341, pages 80-98.
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Duong Viet Thong & Dang Van Hieu. (2017) Modified subgradient extragradient method for variational inequality problems. Numerical Algorithms 79:2, pages 597-610.
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Duong Viet Thong & Dang Van Hieu. (2018) New extragradient methods for solving variational inequality problems and fixed point problems. Journal of Fixed Point Theory and Applications 20:3.
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Duong Viet Thong & Dang Van Hieu. (2018) A new approximation method for finding common fixed points of families of demicontractive operators and applications. Journal of Fixed Point Theory and Applications 20:2.
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