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Mathematical Modelling and Analysis Volume 21, 2016 - Issue 4
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Original Articles

Parallel Extragradient-Proximal Methods for Split Equilibrium Problems

Dang Van HieuaDepartment of Mathematics, Vietnam National University, Hanoi, 334 - Nguyen Trai Street, Ha Noi, Viet NamCorrespondence[email protected]
Pages 478-501 | Received 09 Nov 2015, Accepted 01 Jul 2016, Published online: 23 Jun 2016

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Yan Tang & Zhihui Ji. (2023) Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications. Numerical Functional Analysis and Optimization 0:0, pages 1-28.
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Dang Van Hieu, Le Dung Muu & Hoang Ngoc Duong. (2021) Iterative regularization methods for solving equilibrium problems. International Journal of Computer Mathematics 98:12, pages 2533-2563.
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Habib ur Rehman, Poom Kumam, Yeol Je Cho, Yusuf I. Suleiman & Wiyada Kumam. (2021) Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems. Optimization Methods and Software 36:1, pages 82-113.
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Dang Van Hieu. (2018) New extragradient method for a class of equilibrium problems in Hilbert spaces. Applicable Analysis 97:5, pages 811-824.
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Dang Van Hieu. (2018) Two hybrid algorithms for solving split equilibrium problems. International Journal of Computer Mathematics 95:3, pages 561-583.
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Duong Viet Thong & Dang Van Hieu. (2018) Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems. Optimization 67:1, pages 83-102.
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Articles from other publishers (41)

Zhaoli Ma & Lin Wang. (2023) New Convergence Theorems for Pseudomonotone Variational Inequality on Hadamard Manifolds. Symmetry 15:11, pages 2085.
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Jamilu Abubakar, Parin Chaipunya & Poom Kumam. (2023) Iterative method for split equilibrium problem and minimization problem via conjugate gradient method. Journal of Computational and Applied Mathematics 429, pages 115191.
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Dang Van Hieu, Le Dung Muu & Pham Kim Quy. (2023) New iterative regularization methods for solving split variational inclusion problems. Journal of Industrial and Management Optimization 19:1, pages 300.
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Sakorn Mekruksavanich, Nattakarn Kaewyong, Anuchit Jitpattanakul & Kanokwan Sitthithakerngkiet. (2022) Adapting step size algorithms for solving split equilibrium problems with applications to signal recovery. Journal of Inequalities and Applications 2022:1.
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Maryam SAFARİ, Fridoun MORADLOU & Ali Asghar KHALİLZADEH. (2022) Hybrid proximal point algorithm for solving split equilibrium problems and its applications. Hacettepe Journal of Mathematics and Statistics 51:4, pages 932-957.
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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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Xiaojun Ma, Hongwei Liu & Xiaoyin Li. (2022) Two Optimization Approaches for Solving Split Variational Inclusion Problems with Applications. Journal of Scientific Computing 91:2.
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Dang Van Hieu, Simeon Reich, Pham Ky Anh & Nguyen Hai Ha. (2021) A new proximal-like algorithm for solving split variational inclusion problems. Numerical Algorithms 89:2, pages 811-837.
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T. O. Alakoya, L. O. Jolaoso & O. T. Mewomo. (2021) Strong convergence theorems for finite families of pseudomonotone equilibrium and fixed point problems in Banach spaces. Afrika Matematika 32:5-6, pages 897-923.
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Habib ur Rehman, Poom Kumam, Qiao‐Li Dong & Yeol Je Cho. (2020) A modified self‐adaptive extragradient method for pseudomonotone equilibrium problem in a real Hilbert space with applications. Mathematical Methods in the Applied Sciences 44:5, pages 3527-3547.
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Jingjing Fan, Bing Tan & Songxiao Li. (2021) An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds. Computational and Applied Mathematics 40:2.
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Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn, Muhammad Aqeel Ahmad Khan, Hammad Sarwar & Hafiz Fukhar-ud-Din. (2020) Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces. Advances in Difference Equations 2020:1.
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Dang Van Hieu, Bui Huu Thai & Poom Kumam. (2020) Parallel modified methods for pseudomonotone equilibrium problems and fixed point problems for quasi-nonexpansive mappings. Advances in Operator Theory 5:4, pages 1684-1717.
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Pasakorn Yordsorn, Poom Kumam, Habib ur Rehman & Abdulkarim Hassan Ibrahim. (2020) A Weak Convergence Self-Adaptive Method for Solving Pseudomonotone Equilibrium Problems in a Real Hilbert Space. Mathematics 8:7, pages 1165.
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Habib ur Rehman, Poom Kumam, Auwal Bala Abubakar & Yeol Je Cho. (2020) The extragradient algorithm with inertial effects extended to equilibrium problems. Computational and Applied Mathematics 39:2.
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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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Anteneh Getachew Gebrie & Rabian Wangkeeree. (2020) Parallel projected subgradient method for solving split system of fixed point set constraint equilibrium problems in Hilbert spaces. Novi Sad Journal of Mathematics 50:2, pages 7-33.
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Anteneh Getachew Gebrie & Rabian Wangkeeree. (2019) Parallel proximal method of solving split system of fixed point set constraint minimization problems. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:1.
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Habib ur Rehman, Poom Kumam, Yeol Je Cho & Pasakorn Yordsorn. (2019) Weak convergence of explicit extragradient algorithms for solving equilibirum problems. Journal of Inequalities and Applications 2019:1.
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Duong Viet Thong & Dang Van Hieu. (2019) Strong convergence of extragradient methods with a new step size for solving variational inequality problems. Computational and Applied Mathematics 38:3.
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Anantachai Padcharoen, Poom Kumam & Yeol Je Cho. (2018) Split common fixed point problems for demicontractive operators. Numerical Algorithms 82:1, pages 297-320.
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Dang Van Hieu, Dang Xuan Son, Pham Ky Anh & Le Dung Muu. (2018) A Two-Step Extragradient-Viscosity Method for Variational Inequalities and Fixed Point Problems. Acta Mathematica Vietnamica 44:2, pages 531-552.
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Dang Van Hieu. (2018) New inertial algorithm for a class of equilibrium problems. Numerical Algorithms 80:4, pages 1413-1436.
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Li-Jun Zhu & Yonghong Yao. (2019) An Iterative Approach to the Solutions of Proximal Split Feasibility Problems. Mathematics 7:2, pages 145.
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Dang Van Hieu. (2017) An Explicit Parallel Algorithm for Variational Inequalities. Bulletin of the Malaysian Mathematical Sciences Society 42:1, pages 201-221.
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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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Dang Van Hieu & Jean Jacques Strodiot. (2018) Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces. Journal of Fixed Point Theory and Applications 20:3.
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Duong Viet Thong & Dang Van Hieu. (2017) Weak and strong convergence theorems for variational inequality problems. Numerical Algorithms 78:4, pages 1045-1060.
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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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Dang Van Hieu. (2017) Projected subgradient algorithms on systems of equilibrium problems. Optimization Letters 12:3, pages 551-566.
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Dang Van Hieu. (2017) Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems. Numerical Algorithms 77:4, pages 983-1001.
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Dang Van Hieu & Duong Viet Thong. (2017) New extragradient-like algorithms for strongly pseudomonotone variational inequalities. Journal of Global Optimization 70:2, pages 385-399.
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Dang Van Hieu. (2017) Hybrid projection methods for equilibrium problems with non-Lipschitz type bifunctions. Mathematical Methods in the Applied Sciences 40:11, pages 4065-4079.
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Dang Van Hieu. (2017) New subgradient extragradient methods for common solutions to equilibrium problems. Computational Optimization and Applications 67:3, pages 571-594.
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Van Hieu Dang. (2017) An extension of hybrid method without extrapolation step to equilibrium problems. Journal of Industrial & Management Optimization 13:4, pages 1723-1741.
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Dang Van Hieu, Pham Ky Anh & Le Dung Muu. (2016) Modified hybrid projection methods for finding common solutions to variational inequality problems. Computational Optimization and Applications 66:1, pages 75-96.
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Dang Van Hieu. (2016) Cyclic subgradient extragradient methods for equilibrium problems. Arabian Journal of Mathematics 5:3, pages 159-175.
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