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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 5
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Articles

New extragradient method for a class of equilibrium problems in Hilbert spaces

Pages 811-824 | Received 09 Aug 2016, Accepted 31 Jan 2017, Published online: 17 Feb 2017

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M. Raeisi, M. Chalack & G. Zamani Eskandani. (2022) Gradient projection-type algorithms for solving ϕ-strongly pseudomonotone equilibrium problems in Banach spaces. Optimization 71:9, pages 2749-2767.
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Habib ur Rehman, Poom Kumam, Meshal Shutaywi, Nuttapol Pakkaranang & Nopparat Wairojjana. (2022) An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces. International Journal of Computer Mathematics 99:6, pages 1081-1104.
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Habib ur Rehman, Poom Kumam, Qiao-Li Dong, Yu Peng & Wejdan Deebani. (2021) A new Popov's subgradient extragradient method for two classes of equilibrium programming in a real Hilbert space. Optimization 70:12, pages 2675-2710.
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L. O. Jolaoso, T. O. Alakoya, A. Taiwo & O. T. Mewomo. (2021) Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space. Optimization 70:2, pages 387-412.
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Vahid Dadashi, Olaniyi S. Iyiola & Yekini Shehu. (2020) The subgradient extragradient method for pseudomonotone equilibrium problems. Optimization 69:4, pages 901-923.
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Dang Van Hieu & Duong Viet Thong. (2019) A new projection method for a class of variational inequalities. Applicable Analysis 98:13, pages 2423-2439.
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Habib ur Rehman, Debdas Ghosh, Jen-Chih Yao & Xiaopeng Zhao. Extragradient methods with dual inertial steps for solving equilibrium problems. Applicable Analysis 0:0, pages 1-36.
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Bing Tan, Xiaolong Qin & Jen-Chih Yao. (2024) Extragradient algorithms for solving equilibrium problems on Hadamard manifolds. Applied Numerical Mathematics 201, pages 187-216.
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J. X. Cruz Neto, J. O. Lopes, A. Soubeyran & J. C. O. Souza. (2021) Abstract regularized equilibria: application to Becker’s household behavior theory. Annals of Operations Research 316:2, pages 1279-1300.
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Dang Van Hieu, Le Dung Muu & Pham Kim Quy. (2022) One-step optimization method for equilibrium problems. Advances in Computational Mathematics 48:3.
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Lateef Olakunle Jolaoso, Christian Chibueze Okeke & Yekini Shehu. (2021) Extragradient Algorithm for Solving Pseudomonotone Equilibrium Problem with Bregman Distance in Reflexive Banach Spaces. Networks and Spatial Economics 21:4, pages 873-903.
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Lateef Olakunle Jolaoso. (2021) Modified projected subgradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces. Computational and Applied Mathematics 40:3.
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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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Habib ur Rehman, Poom Kumam, Ioannis K. Argyros & Nasser Aedh Alreshidi. (2021) Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications. Computational and Applied Mathematics 40:2.
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Habib ur Rehman, Wiyada Kumam, Poom Kumam & Meshal Shutaywi. (2021) A new weak convergence non-monotonic self-adaptive iterative scheme for solving equilibrium problems. AIMS Mathematics 6:6, pages 5612-5638.
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Lateef Olakunle Jolaoso & Maggie Aphane. (2020) A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems. Fixed Point Theory and Applications 2020:1.
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Wiyada Kumam & Kanikar Muangchoo. (2020) Approximation Results for Equilibrium Problems Involving Strongly Pseudomonotone Bifunction in Real Hilbert Spaces. Axioms 9:4, pages 137.
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Wiyada Kumam & Kanikar Muangchoo. (2020) Inertial Iterative Self-Adaptive Step Size Extragradient-Like Method for Solving Equilibrium Problems in Real Hilbert Space with Applications. Axioms 9:4, pages 127.
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Nopparat Wairojjana, Habib ur Rehman, Manuel De la Sen & Nuttapol Pakkaranang. (2020) A General Inertial Projection-Type Algorithm for Solving Equilibrium Problem in Hilbert Spaces with Applications in Fixed-Point Problems. Axioms 9:3, pages 101.
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Nopparat Wairojjana, Habib ur Rehman, Ioannis K. Argyros & Nuttapol Pakkaranang. (2020) An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications. Axioms 9:3, pages 99.
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Thanatporn Bantaojai, Nuttapol Pakkaranang, Habib ur Rehman, Poom Kumam & Wiyada Kumam. (2020) Convergence Analysis of Self-Adaptive Inertial Extra-Gradient Method for Solving a Family of Pseudomonotone Equilibrium Problems with Application. Symmetry 12:8, pages 1332.
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Dang Van Hieu, Le Van Vy & Pham Kim Quy. (2019) Three-operator splitting algorithm for a class of variational inclusion problems. Bulletin of the Iranian Mathematical Society 46:4, pages 1055-1071.
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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, Meshal Shutaywi, Nasser Aedh Alreshidi & Wiyada Kumam. (2020) Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models. Energies 13:12, pages 3292.
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Habib ur Rehman, Poom Kumam, Ioannis K. Argyros, Meshal Shutaywi & Zahir Shah. (2020) Optimization Based Methods for Solving the Equilibrium Problems with Applications in Variational Inequality Problems and Solution of Nash Equilibrium Models. Mathematics 8:5, pages 822.
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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, 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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Dang Van Hieu & Pham Kim Quy. (2020) An inertial modified algorithm for solving variational inequalities. RAIRO - Operations Research 54:1, pages 163-178.
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Gaobo Li, Yanxia Lu & Yeol Je Cho. (2019) Viscosity extragradient method with Armijo linesearch rule for pseudomonotone equilibrium problem and fixed point problem in Hilbert spaces. Indian Journal of Pure and Applied Mathematics 50:4, pages 903-921.
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Nguyen The Vinh & Aviv Gibali. (2019) Gradient projection-type algorithms for solving equilibrium problems and its applications. Computational and Applied Mathematics 38:3.
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Dang Van Hieu, Pham Kim Quy & Le Van Vy. (2019) Explicit iterative algorithms for solving equilibrium problems. Calcolo 56:2.
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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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Dang Van Hieu. (2018) An inertial-like proximal algorithm for equilibrium problems. Mathematical Methods of Operations Research 88:3, pages 399-415.
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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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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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