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A double projection method for solving variational inequalities without monotonicity

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Cited by:

  1. Yiran He, 2017. "Solvability of the Minty Variational Inequality," Journal of Optimization Theory and Applications, Springer, vol. 174(3), pages 686-692, September.
  2. Fan-Yun Meng & Li-Ping Pang & Jian Lv & Jin-He Wang, 2017. "An approximate bundle method for solving nonsmooth equilibrium problems," Journal of Global Optimization, Springer, vol. 68(3), pages 537-562, July.
  3. Cholamjiak, Watcharaporn & Dutta, Hemen & Yambangwai, Damrongsak, 2021. "Image restorations using an inertial parallel hybrid algorithm with Armijo linesearch for nonmonotone equilibrium problems," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
  4. Xiaomei Dong & Xingju Cai & Deren Han & Zhili Ge, 2020. "Solving a Class of Variational Inequality Problems with a New Inexact Strategy," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-20, January.
  5. Liya Liu & Tiexiang Li & Xiaolong Qin, 2026. "Halpern-type Bregman Projection Algorithms for Split Variational Inequality Problems," Journal of Optimization Theory and Applications, Springer, vol. 208(1), pages 1-33, January.
  6. Ming Lei & Yiran He, 2021. "An Extragradient Method for Solving Variational Inequalities without Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 432-446, February.
  7. Xuan Thanh Le & Le Dung Muu & Nguyen Van Quy, 2026. "A Dual Approach Based Extragradient-Type Method for Solving Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 208(1), pages 1-25, January.
  8. Chinedu Izuchukwu & Yekini Shehu & Jen-Chih Yao, 2022. "New inertial forward-backward type for variational inequalities with Quasi-monotonicity," Journal of Global Optimization, Springer, vol. 84(2), pages 441-464, October.
  9. Chinedu Izuchukwu & Yekini Shehu, 2021. "New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems Beyond Monotonicity," Networks and Spatial Economics, Springer, vol. 21(2), pages 291-323, June.
  10. Duong Thong & Pham Anh & Vu Dung, 2025. "Relaxed Two-Step Inertial Tseng’s Extragradient Method for Nonmonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 205(1), pages 1-27, April.
  11. Duong Viet Thong & Vu Tien Dung & Pham Thi Huong Huyen & Hoang Thi Thanh Tam, 2024. "On Approximating Solutions to Non-monotone Variational Inequality Problems: An Approach Through the Modified Projection and Contraction Method," Networks and Spatial Economics, Springer, vol. 24(4), pages 789-818, December.
  12. Jean Strodiot & Phan Vuong & Thi Nguyen, 2016. "A class of shrinking projection extragradient methods for solving non-monotone equilibrium problems in Hilbert spaces," Journal of Global Optimization, Springer, vol. 64(1), pages 159-178, January.
  13. Timilehin O. Alakoya & Oluwatosin T. Mewomo & Yekini Shehu, 2022. "Strong convergence results for quasimonotone variational inequalities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(2), pages 249-279, April.
  14. Huan Zhang & Xiaolan Liu & Yan Sun & Ju Hu, 2023. "An Alternated Inertial Projection Algorithm for Multi-Valued Variational Inequality and Fixed Point Problems," Mathematics, MDPI, vol. 11(8), pages 1-13, April.
  15. Duong Viet Thong & Vu Tien Dung & Hoang Thi Thanh Tam, 2025. "A Self Adaptive Projected Gradient Method for Solving Non-Monotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 206(1), pages 1-27, July.
  16. Yonghong Yao & Mihai Postolache & Jen-Chih Yao, 2019. "An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems," Mathematics, MDPI, vol. 7(1), pages 1-15, January.
  17. Xin He & Nan-jing Huang & Xue-song Li, 2022. "Modified Projection Methods for Solving Multi-valued Variational Inequality without Monotonicity," Networks and Spatial Economics, Springer, vol. 22(2), pages 361-377, June.
  18. Duong Viet Thong, 2025. "Some New Conditions for Solving Variational Inequalities Without Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 206(2), pages 1-20, August.
  19. Zhong-bao Wang & Xue Chen & Jiang Yi & Zhang-you Chen, 2022. "Inertial projection and contraction algorithms with larger step sizes for solving quasimonotone variational inequalities," Journal of Global Optimization, Springer, vol. 82(3), pages 499-522, March.
  20. Yonghong Yao & Abubakar Adamu & Yekini Shehu, 2025. "Strongly Convergent Golden Ratio Algorithms for Variational Inequalities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 101(3), pages 395-433, June.
  21. Meiying Wang & Hongwei Liu & Jun Yang, 2026. "A reconsideration of quasimonotone variational inequality problems," Computational Optimization and Applications, Springer, vol. 93(1), pages 373-395, January.
  22. R. Díaz Millán & O. P. Ferreira & J. Ugon, 2024. "Extragradient method with feasible inexact projection to variational inequality problem," Computational Optimization and Applications, Springer, vol. 89(2), pages 459-484, November.
  23. Jolaoso, Lateef O. & Shehu, Yekini & Yao, Jen-Chih, 2022. "Inertial extragradient type method for mixed variational inequalities without monotonicity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 353-369.
  24. Hongwei Liu & Jun Yang, 2020. "Weak convergence of iterative methods for solving quasimonotone variational inequalities," Computational Optimization and Applications, Springer, vol. 77(2), pages 491-508, November.
  25. Tran Thang & Xuan Thanh Le, 2024. "Self-Adaptive Extragradient Algorithms for Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 203(3), pages 2988-3013, December.
  26. V. A. Uzor & T. O. Alakoya & O. T. Mewomo & A. Gibali, 2023. "Solving quasimonotone and non-monotone variational inequalities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 98(3), pages 461-498, December.
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