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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 68, 2019 - Issue 11
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Articles

New subgradient extragradient methods for solving monotone bilevel equilibrium problems

Pham Ngoc AnhInstitute for Research and Application of Optimization, VinTech, Vingroup, Ha Noi, VietnamCorrespondence[email protected]
&
Le Thi Hoai AnInstitute for Research and Application of Optimization, VinTech, Vingroup, Ha Noi, Vietnam
Pages 2099-2124 | Received 14 May 2019, Accepted 09 Aug 2019, Published online: 16 Sep 2019

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L.O. Jolaoso. (2022) The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces. Optimization 71:14, pages 4051-4081.
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Articles from other publishers (14)

Cong-Shan Wang, Lu-Chuan Ceng, Bing Li, Sheng-Long Cao, Hui-Ying Hu & Yun-Shui Liang. (2023) Modified Inertial-Type Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Finite Bregman Relatively Nonexpansive and Demicontractive Mappings. Axioms 12:9, pages 832.
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Tran Van Thang, Pham Ngoc Anh & Nguyen Duc Truong. (2023) Convergence of the projection and contraction methods for solving bilevel variational inequality problems. Mathematical Methods in the Applied Sciences 46:9, pages 10867-10885.
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Pham Ngoc Anh, Qamrul Hasan Ansari & Ho Phi Tu. (2022) DC auxiliary principle methods for solving lexicographic equilibrium problems. Journal of Global Optimization 85:1, pages 129-153.
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Tran Van Thang. (2021) Inertial Subgradient Projection Algorithms Extended to Equilibrium Problems. Bulletin of the Iranian Mathematical Society 48:5, pages 2349-2370.
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Lam Quoc Anh, Ha Manh Linh & Tran Ngoc Tam. (2022) Semicontinuity of Solutions and Well-Posedness Under Perturbations for Equilibrium Problems with Nonlinear Inequality Constraints. Bulletin of the Brazilian Mathematical Society, New Series 53:3, pages 751-763.
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Gaobo Li. (2022) Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space. Journal of Mathematics 2022, pages 1-16.
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Lateef Olakunle Jolaoso & Maggie Aphane. (2022) A self-adaptive parallel subgradient extragradient method for finite family of pseudomonotone equilibrium and fixed point problems. Computational and Applied Mathematics 41:3.
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Long He, Yun-Ling Cui, Lu-Chuan Ceng, Tu-Yan Zhao, Dan-Qiong Wang & Hui-Ying Hu. (2021) Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule. Journal of Inequalities and Applications 2021:1.
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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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Pham Ngoc Anh & Nguyen Van Hong. (2020) New projection methods for equilibrium problems over fixed point sets. Optimization Letters 15:2, pages 627-648.
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Pham Ngoc Anh & Qamrul Hasan Ansari. (2021) Auxiliary Principle Technique for Hierarchical Equilibrium Problems. Journal of Optimization Theory and Applications 188:3, pages 882-912.
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Pham Ngoc Anh & Ho Phi Tu. (2020) Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces. Numerical Algorithms 86:1, pages 55-74.
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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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