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By Topic: Variational inequality problem / Bilevel variational inequality problem / Monotone inclusion problem / Split variational inclusion problem / Fixed point problem / Split common fixed point problems / Equilibrium problem / Split feasibility problems / Split equality problems

Variational inequality problem

  1. Bing Tan, Aviv Gibali*, Xiaolong Qin. Three approximation methods for solving constraint variational inequalities and related problems. Pure and Applied Functional Analysis. 2023, 8(3), 965–986. (MathSciNet) [Link] [Cite]

    Tan, B., Gibali, A., Qin, X.: Three approximation methods for solving constraint variational inequalities and related problems. Pure Appl. Funct. Anal. 8, 965--986 (2023)

  2. Bing Tan, Songxiao Li, Sun Young Cho*. Inertial projection and contraction methods for pseudomonotone variational inequalities with non-Lipschitz operators and applications. Applicable Analysis. 2023, 102(4), 1199–1221. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Li, S., Cho, S.Y.: Inertial projection and contraction methods for pseudomonotone variational inequalities with non-Lipschitz operators and applications. Appl. Anal. 102, 1199--1221 (2023)

  3. Bing Tan, Pongsakorn Sunthrayuth*, Prasit Cholamjiak, Yeol Je Cho. Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem. International Journal of Computer Mathematics. 2023, 100(3), 525–545. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Sunthrayuth, P., Cholamjiak, P., Cho, Y.J.: Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem. Int. J. Comput. Math. 100, 525--545 (2023)

  4. Bing Tan, Songxiao Li*. Adaptive inertial subgradient extragradient methods for finding minimum-norm solutions of pseudomonotone variational inequalities. Journal of Industrial and Management Optimization. 2023, 19(10), 7640–7659. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Li, S.: Adaptive inertial subgradient extragradient methods for finding minimum-norm solutions of pseudomonotone variational inequalities. J. Ind. Manag. Optim. 19, 7640--7659 (2023)

  5. Bing Tan, Xiaolong Qin*, Sun Young Cho. Revisiting subgradient extragradient methods for solving variational inequalities. Numerical Algorithms. 2022, 90(4), 1593–1615. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Qin, X., Cho, S.Y.: Revisiting subgradient extragradient methods for solving variational inequalities. Numer. Algorithms 90, 1593--1615 (2022)

  6. Bing Tan, Xiaolong Qin*, Jen-Chih Yao. Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems. Journal of Global Optimization. 2022, 82(3), 523–557. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Qin, X., Yao, J.-C.: Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems. J. Global Optim. 82, 523--557 (2022)

  7. Bing Tan, Xiaolong Qin*. Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators. Analysis and Mathematical Physics. 2022, 12(1), Article ID 26. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Qin, X.: Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators. Anal. Math. Phys. 12, Article ID 26 (2022)

  8. Bing Tan, Adrian Petruşel, Xiaolong Qin*, Jen-Chih Yao. Global and linear convergence of alternated inertial single projection algorithms for pseudo-monotone variational inequalities. Fixed Point Theory. 2022, 23(1), 391–426. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Petru{\c s}el, A., Qin, X., Yao, J.-C.: Global and linear convergence of alternated inertial single projection algorithms for pseudo-monotone variational inequalities. Fixed Point Theory 23, 391--426 (2022)

  9. Bing Tan, Xiaolong Qin*. Adaptive modified inertial projection and contraction methods for pseudomonotone variational inequalities. Journal of Applied and Numerical Optimization. 2022, 4(2), 221–243. (EI) [Link] [Cite]

    Tan, B., Qin, X.: Adaptive modified inertial projection and contraction methods for pseudomonotone variational inequalities. J. Appl. Numer. Optim. 4, 221--243 (2022)

  10. Bing Tan, Xiaolong Qin*. Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications. Mathematical Modelling and Analysis. 2022, 27(1), 41–58. (SCI, EI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Tan, B., Qin, X.: Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications. Math. Model. Anal. 27, 41--58 (2022)

  11. Bing Tan, Liya Liu*, Xiaolong Qin. Strong convergence of inertial extragradient algorithms for solving variational inequalitis and fixed point problems. Fixed Point Theory. 2022, 23(2), 707–728. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Liu, L., Qin, X.: Strong convergence of inertial extragradient algorithms for solving variational inequalitis and fixed point problems. Fixed Point Theory 23, 707--728 (2022)

  12. Bing Tan, Sun Young Cho*. Two adaptive modified subgradient extragradient methods for bilevel pseudomonotone variational inequalities with applications. Communications in Nonlinear Science and Numerical Simulation. 2022, 107, Article ID 106160. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Cho, S.Y.: Two adaptive modified subgradient extragradient methods for bilevel pseudomonotone variational inequalities with applications. Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106160 (2022)

  13. Bing Tan, Sun Young Cho*. Inertial extragradient algorithms with non-monotone stepsizes for pseudomonotone variational inequalities and applications. Computational and Applied Mathematics. 2022, 41(3), Article ID 121. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Cho, S.Y.: Inertial extragradient algorithms with non-monotone stepsizes for pseudomonotone variational inequalities and applications. Comput. Appl. Math. 41, Article ID 121 (2022)

  14. Bing Tan, Sun Young Cho*. Two new projection algorithms for variational inequalities in Hilbert spaces. Journal of Nonlinear and Convex Analysis. 2022, 23(11), 2523–2534. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Cho, S.Y.: Two new projection algorithms for variational inequalities in Hilbert spaces. J. Nonlinear Convex Anal. 23, 2523--2534 (2022)

  15. Bing Tan, Songxiao Li*. Modified inertial projection and contraction algorithms with non-monotonic step sizes for solving variational inequalities and their applications. Optimization. 2022, doi:10.1080/02331934.2022.2123705. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Li, S.: Modified inertial projection and contraction algorithms with non-monotonic step sizes for solving variational inequalities and their applications. Optimization https://doi.org/10.1080/02331934.2022.2123705 (2022)

  16. Bing Tan, Songxiao Li*. Revisiting projection and contraction algorithms for solving variational inequalities and applications. Applied Set-Valued Analysis and Optimization. 2022, 4(2), 167–183. (EI) [Link] [Cite]

    Tan, B., Li, S.: Revisiting projection and contraction algorithms for solving variational inequalities and applications. Appl. Set-Valued Anal. Optim. 4, 167--183 (2022)

  17. Bing Tan, Zheng Zhou, Songxiao Li*. Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems. Journal of Applied Mathematics and Computing. 2022, 68(2), 1387–1411. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Zhou, Z., Li, S.: Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems. J. Appl. Math. Comput. 68, 1387--1411 (2022)

  18. Bing Tan, Jingjing Fan, Xiaolong Qin*. Inertial extragradient algorithms with non-monotonic step sizes for solving variational inequalities and fixed point problems. Advances in Operator Theory. 2021, 6(4), Article ID 61. (ESCI, MathSciNet) [Link] [Cite]

    Tan, B., Fan, J., Qin, X.: Inertial extragradient algorithms with non-monotonic step sizes for solving variational inequalities and fixed point problems. Adv. Oper. Theory 6, Article ID 61 (2021)

  19. Bing Tan, Sun Young Cho*. Self-adaptive inertial shrinking projection algorithms for solving pseudomonotone variational inequalities. Journal of Nonlinear and Convex Analysis. 2021, 22(3), 613–627. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Cho, S.Y.: Self-adaptive inertial shrinking projection algorithms for solving pseudomonotone variational inequalities. J. Nonlinear Convex Anal. 22, 613--627 (2021)

  20. Bing Tan, Sun Young Cho*. Inertial extragradient methods for solving pseudomonotone variational inequalities with non-Lipschitz mappings and their optimization applications. Applied Set-Valued Analysis and Optimization. 2021, 3(2), 165–192. (EI) [Link] [Cite]

    Tan, B., Cho, S.Y.: Inertial extragradient methods for solving pseudomonotone variational inequalities with non-Lipschitz mappings and their optimization applications. Appl. Set-Valued Anal. Optim. 3, 165--192 (2021)

  21. Bing Tan, Songxiao Li*, Xiaolong Qin. Self-adaptive inertial single projection methods for variational inequalities involving non-Lipschitz and Lipschitz operators with their applications to optimal control problems. Applied Numerical Mathematics. 2021, 170, 219–241. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Li, S., Qin, X.: Self-adaptive inertial single projection methods for variational inequalities involving non-Lipschitz and Lipschitz operators with their applications to optimal control problems. Appl. Numer. Math. 170, 219--241 (2021)

  22. Bing Tan, Songxiao Li*, Xiaolong Qin. On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications. Computational and Applied Mathematics. 2021, 40(7), Article ID 253. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Li, S., Qin, X.: On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications. Comput. Appl. Math. 40, Article ID 253 (2021)

  23. Bing Tan, Jingjing Fan, Songxiao Li*. Self-adaptive inertial extragradient algorithms for solving variational inequality problems. Computational and Applied Mathematics. 2021, 40(1), Article ID 19. (SCI, EI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Tan, B., Fan, J., Li, S.: Self-adaptive inertial extragradient algorithms for solving variational inequality problems. Comput. Appl. Math. 40, Article ID 19 (2021)

  24. Bing Tan, Shanshan Xu, Songxiao Li*. Inertial shrinking projection algorithms for solving hierarchical variational inequality problems. Journal of Nonlinear and Convex Analysis. 2020, 21(4), 871–884. (SCI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Tan, B., Xu, S., Li, S.: Inertial shrinking projection algorithms for solving hierarchical variational inequality problems. J. Nonlinear Convex Anal. 21, 871--884 (2020)

  25. Bing Tan, Shanshan Xu, Songxiao Li*. Inertial hybrid and shrinking projection algorithms for solving variational inequality problems. Journal of Nonlinear and Convex Analysis. 2020, 21(10), 2193–2206. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Xu, S., Li, S.: Inertial hybrid and shrinking projection algorithms for solving variational inequality problems. J. Nonlinear Convex Anal. 21, 2193--2206 (2020)

  26. Xiaolin Zhou, Gang Cai*, Bing Tan, Qiao-Li Dong. A modified generalized version of projected reflected gradient method in Hilbert spaces. Numerical Algorithms. 2023, doi:10.1007/s11075-023-01566-1. (SCI, MathSciNet) [Link] [Cite]

    Zhou, X., Cai, G., Tan, B., Dong, Q.-L.: A modified generalized version of projected reflected gradient method in Hilbert spaces. Numer. Algorithms https://doi.org/10.1007/s11075-023-01566-1 (2023)

  27. Shaotao Hu, Yuanheng Wang*, Bing Tan, Fenghui Wang. Inertial iterative method for solving variational inequality problems of pseudo-monotone operators and fixed point problems of nonexpansive mappings in Hilbert spaces. Journal of Industrial and Management Optimization. 2023, 19(4), 2655–2675. (SCI, EI, MathSciNet) [Link] [Cite]

    Hu, S., Wang, Y., Tan, B., Wang, F.: Inertial iterative method for solving variational inequality problems of pseudo-monotone operators and fixed point problems of nonexpansive mappings in Hilbert spaces. J. Ind. Manag. Optim. 19, 2655--2675 (2023)

  28. Zheng Zhou, Bing Tan, Sun Young Cho*. Alternated inertial subgradient extragradient methods for solving variational inequalities. Journal of Nonlinear and Convex Analysis. 2022, 23(11), 2593–2604. (SCI, MathSciNet) [Link] [Cite]

    Zhou, Z., Tan, B., Cho, S.Y.: Alternated inertial subgradient extragradient methods for solving variational inequalities. J. Nonlinear Convex Anal. 23, 2593--2604 (2022)

  29. Jingjing Fan, Xiaolong Qin*, Bing Tan. Tseng's extragradient algorithm for pseudomonotone variational inequalities on Hadamard manifolds. Applicable Analysis. 2022, 101(6), 2372–2385. (SCI, MathSciNet) [Link] [Cite]

    Fan, J., Qin, X., Tan, B.: Tseng's extragradient algorithm for pseudomonotone variational inequalities on Hadamard manifolds. Appl. Anal. 101, 2372--2385 (2022)

  30. Liya Liu, Bing Tan, Sun Young Cho*. On the resolution of variational inequality problems with a double-hierarchical structure. Journal of Nonlinear and Convex Analysis. 2020, 21(2), 377–386. (SCI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Liu, L., Tan, B., Cho, S.Y.: On the resolution of variational inequality problems with a double-hierarchical structure. J. Nonlinear Convex Anal. 21, 377--386 (2020)

Bilevel variational inequality problem

  1. Bing Tan, Sun Young Cho*. Two projection-based methods for bilevel pseudomonotone variational inequalities involving non-Lipschitz operators. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2022, 116(2), Article ID 64. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Cho, S.Y.: Two projection-based methods for bilevel pseudomonotone variational inequalities involving non-Lipschitz operators. Rev. R. Acad. Cienc. Exactas F{\' i}s. Nat. Ser. A Mat. RACSAM 116, Article ID 64 (2022)

  2. Bing Tan, Songxiao Li*, Sun Young Cho. Revisiting inertial subgradient extragradient algorithms for solving bilevel variational inequality problems. Journal of Applied and Numerical Optimization. 2022, 4(3), 425–444. (EI) [Link] [Cite]

    Tan, B., Li, S., Cho, S.Y.: Revisiting inertial subgradient extragradient algorithms for solving bilevel variational inequality problems. J. Appl. Numer. Optim. 4, 425--444 (2022)

  3. Bing Tan, Xiaolong Qin*, Jen-Chih Yao. Two modified inertial projection algorithms for bilevel pseudomonotone variational inequalities with applications to optimal control problems. Numerical Algorithms. 2021, 88(4), 1757–1786. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Qin, X., Yao, J.-C.: Two modified inertial projection algorithms for bilevel pseudomonotone variational inequalities with applications to optimal control problems. Numer. Algorithms 88, 1757--1786 (2021)

  4. Bing Tan, Liya Liu, Xiaolong Qin*. Self adaptive inertial extragradient algorithms for solving bilevel pseudomonotone variational inequality problems. Japan Journal of Industrial and Applied Mathematics. 2021, 38(2), 519–543. (SCI, EI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Tan, B., Liu, L., Qin, X.: Self adaptive inertial extragradient algorithms for solving bilevel pseudomonotone variational inequality problems. Jpn. J. Ind. Appl. Math. 38, 519--543 (2021)

  5. Bing Tan, Songxiao Li*, Xiaolong Qin. An accelerated extragradient algorithm for bilevel pseudomonotone variational inequality problems with application to optimal control problems. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2021, 115(4), Article ID 174. (SCI, EI, MathSciNet) [Link] [Cite]

    Tan, B., Li, S., Qin, X.: An accelerated extragradient algorithm for bilevel pseudomonotone variational inequality problems with application to optimal control problems. Rev. R. Acad. Cienc. Exactas F{\' i}s. Nat. Ser. A Mat. RACSAM 115, Article ID 174 (2021)

Monotone inclusion problem

  1. Bing Tan, Xiaolong Qin*. An alternated inertial algorithm with weak and linear convergence for solving monotone inclusions. Annals of Mathematical Sciences and Applications. 2023, 8(2), 321–345. (ESCI, MathSciNet) [Link] [Cite]

    Tan, B., Qin, X.: An alternated inertial algorithm with weak and linear convergence for solving monotone inclusions. Ann. Math. Sci. Appl. 8, 321--345 (2023)

  2. Bing Tan, Sun Young Cho*. Strong convergence of inertial forward-backward methods for solving monotone inclusions. Applicable Analysis. 2022, 101(15), 5386–5414. (SCI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Tan, B., Cho, S.Y.: Strong convergence of inertial forward-backward methods for solving monotone inclusions. Appl. Anal. 101, 5386--5414 (2022)

  3. Bing Tan, Zheng Zhou, Xiaolong Qin*. Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems. Journal of Applied Analysis and Computation. 2020, 10(5), 2184–2197. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Zhou, Z., Qin, X.: Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems. J. Appl. Anal. Comput. 10, 2184--2197 (2020)

  4. Bing Tan*, Shanshan Xu. Strong convergence of two inertial projection algorithms in Hilbert spaces. Journal of Applied and Numerical Optimization. 2020, 2(2), 171–186. (EI) [Link] [Cite]

    Tan, B., Xu, S.: Strong convergence of two inertial projection algorithms in Hilbert spaces. J. Appl. Numer. Optim. 2, 171--186 (2020)

  5. Jingjing Fan, Xiaolong Qin*, Bing Tan. Convergence of an inertial shadow Douglas-Rachford splitting algorithm for monotone inclusions. Numerical Functional Analysis and Optimization. 2021, 42(14), 1627–1644. (SCI, EI, MathSciNet) [Link] [Cite]

    Fan, J., Qin, X., Tan, B.: Convergence of an inertial shadow Douglas-Rachford splitting algorithm for monotone inclusions. Numer. Funct. Anal. Optim. 42, 1627--1644 (2021)

  6. Yinglin Luo, Bing Tan, Songxiao Li*. Inertial splitting algorithms for nonlinear operators of pseudocontractive and accretive types. Optimization. 2023, 72(3), 647–675. (SCI, MathSciNet) [Link] [Cite]

    Luo, Y., Tan, B., Li, S.: Inertial splitting algorithms for nonlinear operators of pseudocontractive and accretive types. Optimization 72, 647--675 (2023)

Split variational inclusion problem

  1. Bing Tan, Xiaolong Qin*, Jen-Chih Yao. Strong convergence of self-adaptive inertial algorithms for solving split variational inclusion problems with applications. Journal of Scientific Computing. 2021, 87(1), Article ID 20. (SCI, EI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Tan, B., Qin, X., Yao, J.-C.: Strong convergence of self-adaptive inertial algorithms for solving split variational inclusion problems with applications. J. Sci. Comput. 87, Article ID 20 (2021)

  2. Zheng Zhou, Bing Tan, Songxiao Li*. Inertial algorithms with adaptive stepsizes for split variational inclusion problems and their applications to signal recovery problem. Mathematical Methods in the Applied Sciences. 2023, doi:10.1002/mma.9436. (SCI, EI, MathSciNet) [Link] [Cite]

    Zhou, Z., Tan, B., Li, S.: Inertial algorithms with adaptive stepsizes for split variational inclusion problems and their applications to signal recovery problem. Math. Methods Appl. Sci. https://doi.org/10.1002/mma.9436 (2023)

  3. Zheng Zhou, Bing Tan, Songxiao Li*. Two self-adaptive inertial projection algorithms for solving split variational inclusion problems. AIMS Mathematics. 2022, 7(4), 4960–4973. (SCI, MathSciNet) [Link] [Cite]

    Zhou, Z., Tan, B., Li, S.: Two self-adaptive inertial projection algorithms for solving split variational inclusion problems. AIMS Math. 7, 4960--4973 (2022)

  4. Zheng Zhou, Bing Tan, Songxiao Li*. Adaptive hybrid steepest descent algorithms involving an inertial extrapolation term for split monotone variational inclusion problems. Mathematical Methods in the Applied Sciences. 2022, 45(15), 8835–8853. (SCI, EI, MathSciNet) [Link] [Cite]

    Zhou, Z., Tan, B., Li, S.: Adaptive hybrid steepest descent algorithms involving an inertial extrapolation term for split monotone variational inclusion problems. Math. Methods Appl. Sci. 45, 8835--8853 (2022)

Fixed point problem

  1. Bing Tan*, Songxiao Li. Strong convergence of inertial Mann algorithms for solving hierarchical fixed point problems. Journal of Nonlinear and Variational Analysis. 2020, 4(3), 337–355. (SCI, EI) [Link] [Cite]

    Tan, B., Li, S.: Strong convergence of inertial Mann algorithms for solving hierarchical fixed point problems. J. Nonlinear Var. Anal. 4, 337--355 (2020)

  2. Bing Tan, Sun Young Cho*. An inertial Mann-like algorithm for fixed points of nonexpansive mappings in Hilbert spaces. Journal of Applied and Numerical Optimization. 2020, 2(3), 335–351. (EI) [Link] [Cite]

    Tan, B., Cho, S.Y.: An inertial Mann-like algorithm for fixed points of nonexpansive mappings in Hilbert spaces. J. Appl. Numer. Optim. 2, 335--351 (2020)

  3. Bing Tan, Shanshan Xu, Songxiao Li*. Modified inertial hybrid and shrinking projection algorithms for solving fixed point problems. Mathematics. 2020, 8(2), Article ID 236. (SCI) [Link] [Cite]

    Tan, B., Xu, S., Li, S.: Modified inertial hybrid and shrinking projection algorithms for solving fixed point problems. Mathematics 8, Article ID 236 (2020)

  4. Bing Tan, Zheng Zhou, Songxiao Li*. Strong convergence of modified inertial Mann algorithms for nonexpansive mappings. Mathematics. 2020, 8(4), Article ID 462. (SCI) [Link] [Cite]

    Tan, B., Zhou, Z., Li, S.: Strong convergence of modified inertial Mann algorithms for nonexpansive mappings. Mathematics 8, Article ID 462 (2020)

  5. Liya Liu, Bing Tan, Abdul Latif*. Approximation of fixed points for a semigroup of Bregman quasi-nonexpansive mappings in Banach spaces. Journal of Nonlinear and Variational Analysis. 2021, 5(1), 9–22. (SCI, EI) [Link] [Cite]

    Liu, L., Tan, B., Latif, A.: Approximation of fixed points for a semigroup of Bregman quasi-nonexpansive mappings in Banach spaces. J. Nonlinear Var. Anal. 5, 9--22 (2021)

  6. Yinglin Luo, Meijuan Shang*, Bing Tan. A general inertial viscosity type method for nonexpansive mappings and its applications in signal processing. Mathematics. 2020, 8(2), Article ID 288. (SCI) [Link] [Cite]

    Luo, Y., Shang, M., Tan, B.: A general inertial viscosity type method for nonexpansive mappings and its applications in signal processing. Mathematics 8, Article ID 288 (2020)

Split common fixed point problems

  1. Zheng Zhou*, Bing Tan, Songxiao Li. An accelerated hybrid projection method with a self-adaptive step-size sequence for solving split common fixed point problems. Mathematical Methods in the Applied Sciences. 2021, 44(8), 7294–7303. (SCI, EI, MathSciNet) (ESI Highly Cited Paper) [Link] [Cite]

    Zhou, Z., Tan, B., Li, S.: An accelerated hybrid projection method with a self-adaptive step-size sequence for solving split common fixed point problems. Math. Methods Appl. Sci. 44, 7294--7303 (2021)

  2. Zheng Zhou*, Bing Tan, Songxiao Li. A new accelerated self-adaptive stepsize algorithm with excellent stability for split common fixed point problems. Computational and Applied Mathematics. 2020, 39(3), Article ID 220. (SCI, EI, MathSciNet) [Link] [Cite]

    Zhou, Z., Tan, B., Li, S.: A new accelerated self-adaptive stepsize algorithm with excellent stability for split common fixed point problems. Comput. Appl. Math. 39, Article ID 220 (2020)

  3. Zheng Zhou*, Bing Tan, Songxiao Li. An inertial shrinking projection algorithm for split common fixed point problems. Journal of Applied Analysis and Computation. 2020, 10(5), 2104–2120. (SCI, MathSciNet) [Link] [Cite]

    Zhou, Z., Tan, B., Li, S.: An inertial shrinking projection algorithm for split common fixed point problems. J. Appl. Anal. Comput. 10, 2104--2120 (2020)

Equilibrium problem

  1. Bing Tan, Sun Young Cho*, Jen-Chih Yao. Accelerated inertial subgradient extragradient algorithms with non-monotonic step sizes for equilibrium problems and fixed point problems. Journal of Nonlinear and Variational Analysis. 2022, 6(1), 89–122. (SCI, EI) [Link] [Cite]

    Tan, B., Cho, S.Y., Yao, J.-C.: Accelerated inertial subgradient extragradient algorithms with non-monotonic step sizes for equilibrium problems and fixed point problems. J. Nonlinear Var. Anal. 6, 89--122 (2022)

  2. Jingjing Fan*, Bing Tan, Songxiao Li. An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds. Computational and Applied Mathematics. 2021, 40(2), Article ID 68. (SCI, EI, MathSciNet) [Link] [Cite]

    Fan, J., Tan, B., Li, S.: An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds. Comput. Appl. Math. 40, Article ID 68 (2021)

  3. Zhongbing Xie, Gang Cai*, Bing Tan. Inertial subgradient extragradient method for solving pseudomonotone equilibrium probelms and fixed point problems in Hilbert spaces. Optimization. 2024, 73(5), 1329–1354. (SCI, MathSciNet) [Link] [Cite]

    Xie, Z., Cai, G., Tan, B.: Inertial subgradient extragradient method for solving pseudomonotone equilibrium probelms and fixed point problems in Hilbert spaces. Optimization 73, 1329--1354 (2024)

Split feasibility problem

  1. Bing Tan, Xiaolong Qin, Xianfu Wang*. Alternated inertial algorithms for split feasibility problems. Numerical Algorithms. doi:10.1007/s11075-023-01589-8. (SCI, MathSciNet) [Link] [Cite]

    Tan, B., Qin, X., Wang, X.: Alternated inertial algorithms for split feasibility problems. Numer. Algorithms https://doi.org/10.1007/s11075-023-01589-8 (2023)

Split equality problems

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