Publications

Preprints:

• V.D. Nguyen and N.T. Vinh, A Tseng type stochastic forward-backward algorithm for monotone inclusions, submitted to AMOP.
  

• P.K. Anh, N.T. Thuong and N.T. Vinh*, Convergence of subgradient extragradient methods with novel stepsizes for equilibrium problems in Hilbert spaces, submitted.
  

Accepted manuscripts & updates:

• Ngo Thi Thuong and N.T. Vinh*, Convergence of one-step projection methods for equilibrium problems given by a sum of two functions, Vietnam Journal of Mathematics (Published online: 30 October 2024).
  

• P.T. Hoai, N.T. Vinh*, An inertial hyperplane projection method for split feasibility problems and applications, Optimization (Published online: 17 Jul 2024).
  

• P.K. Anh, N.T. Thuong and N.T. Vinh*, Tseng-type splitting projection algorithms for equilibrium problems in Hilbert spaces, Optimization (Published online: 04 May 2024).
  

2025:

• P.H. Sach, L.A. Tuan, N.T. Vinh, Vector quasi-equilibria for the sum of two multivalued trifunctions, Journal of Optimization Theory and Applications, Volume 204, Issue 3, March 2025, Article: 44.
  

2024:

• V.D. Nguyen and N.T. Vinh*, Two new splitting methods for three-operator monotone inclusions in Hilbert spaces, Set-Valued and Variational Analysis, Volume 32 (Issue 3), Septemper 2024, 26.
  

• P.T. Hoai*, N.T. Vinh and N.P.H. Chung, A novel stepsize for gradient descent method, Operations Research Letters, Volume 53, March 2024, 107072.

2023:

• N.T. Vinh, P.T. Hoai, L.A. Dung and Y.J. Cho*, A new inertial self-adaptive gradient algorithm for the split feasibility problem and an application to the sparse recovery problem, Acta Mathematica Sinica, English Series 39 (2023), 2489–2506.

• P.K. Anh and N.T. Vinh*, A novel projection method for split feasibility problems with applications to compressive sensing, Computational and Applied Mathematics 42 (2023), Issue 4: 197.
  

2022:

• Pham Ky Anh, Duong Viet Thong* and Nguyen The Vinh, Improved inertial extragradient methods for solving pseudo-monotone variational inequalities, Optimization 71 (2022), Issue 3, 505-528.
  

• Nguyen The Vinh* and Ngo Thi Thuong, A relaxed version of the gradient projection method for variational inequalities with applications, Studia Universitatis Babeș-Bolyai Mathematica 67 (2022), No. 1, 73-89.
  

2021:

• Pham Thi Hoai, Ngo Thi Thuong and Nguyen The Vinh*, Golden ratio algorithms for solving equilibrium problems in Hilbert spaces, Journal of Nonlinear and Variational Analysis 5 (2021), Issue 4, 493-518.
  

2020:

• Phan Quoc Khanh, Duong Viet Thong* and Nguyen The Vinh, Versions of the subgradient extragradient method for pseudomonotone variational inequalities, Acta Applicandae Mathematicae 170 (2020), Issue 1, 319–345.
  

• Duong Viet Thong*, Nguyen The Vinh and Yeol Je Cho, A strong convergence theorem for Tseng’s extragradient method for solving variational inequality problems, Optimization Letters 14 (2020), Issue 5, 1157–1175.
  

• Aviv Gibali, Duong Viet Thong* and Nguyen The Vinh, Three new iterative methods for solving inclusion problems and related problems, Computational and Applied Mathematics 39 (2020), Issue 3: 187.
  

• Duong Viet Thong*, Nguyen The Vinh and Yeol Je Cho, New strong convergence theorem of the inertial projection and contraction method for variational inequality problems, Numerical Algorithms 84 (2020), Issue 1, 285–305.
  

2019:

• Duong Viet Thong*, Nguyen The Vinh and Yeol Je Cho, Accelerated subgradient extragradient methods for variational inequality problems, Journal of Scientific Computing 80 (2019), Issue 3, 1438–1462.
  

• Nguyen The Vinh, A new projection algorithm for solving constrained equilibrium problems in Hilbert spaces, Optimization 68 (2019), Issue 8, 1447-1470.
  

• Nguyen The Vinh and Le Dung Muu*, An inertial extragradient algorithm for solving pseudomonotone equilibrium problems, Acta Mathematica Vietnamica 44 (2019), Issue 3, 639–663.
  

• Nguyen The Vinh, Prasit Cholamjiak* and Suthep Suantai, A New CQ Algorithm for Solving Split Feasibility Problems in Hilbert Spaces, Bulletin of the Malaysian Mathematical Sciences Society 42 (2019), Issue 5, pp 2517–2534.
  

• Pham Ky Anh* and Nguyen The Vinh, Self-adaptive gradient projection algorithms for variational inequalities involving non Lipschitz-continuous operators, Numerical Algorithms 81 (2019), Issue 3, 983–1001.
  

• Duong Viet Thong*, Nguyen The Vinh, Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings, Optimization 68 (2019), Issue 5, 1037-1072.
  

• Duong Viet Thong, Nguyen The Vinh and Dang Van Hieu*, Accelerated hybrid and shrinking projection methods for variational inequality problems, Optimization 68 (2019), Issue 5, 981-998.
  

• Nguyen The Vinh and Aviv Gibali*, Gradient projection-type algorithms for solving equilibrium problems and its applications, Computational and Applied Mathematics, September 2019, 38:119.
  

• Aviv Gibali*, Dang Thi Mai and Nguyen The Vinh, A new relaxed CQ algorithm for solving split feasibility problems in Hilbert spaces and its applications, Journal of Industrial & Management Optimization, April 2019, 15 (2), 963-984.
  

2018:

• Pham Ky Anh, Nguyen The Vinh* and Vu Tien Dung, A new self-adaptive CQ algorithm with an application to the LASSO problem, Journal of Fixed Point Theory and Applications, November 2018, 20:142.
  

• Gábor Kassay*, Trinh Ngoc Hai and Nguyen The Vinh, Coupling Popov’s algorithm with subgradient extragradient method for solving equilibrium problems, Journal of Nonlinear and Convex Analysis 19 (2018), 959-986.
  

2017:

• Nguyen The Vinh* and Pham Thi Hoai, Vector equilibrium problems for multifunctions in topological semilattice spaces, Fixed Point Theory 18 (2017), 741-754.
  

• Trinh Ngoc Hai* and Nguyen The Vinh, Two new splitting algorithms for equilibrium problems, RACSAM 111 (2017), 1051–1069.
  

2016:

• Nguyen The Vinh* and Pham Thi Hoai, Some subgradient extragradient type algorithms for solving split feasibility and fixed point problems, Mathematical Methods in the Applied Sciences 39 (2016), 3808–3823.
  

• Gábor Kassay*, Mihaela Miholca and Nguyen The Vinh, Vector Quasi-Equilibrium Problems for the Sum of Two Multivalued Mappings, Journal of Optimization Theory and Applications 169 (2016), 424-442.
  

• Nguyen The Vinh* and Pham Thi Hoai, New results on system of generalized quasi-Ky Fan inequalities with set-valued mappings in topological semilattice spaces, Journal of Systems Science and Complexity 29 (2016), 1585–1595.
  

2015 and earlier:

• Nguyen The Vinh* and Pham Thi Hoai, New results on set-valued vector equilibrium problems, PanAmerican Mathematical Journal 25 (2015), 35 – 51.
  

• Nguyen The Vinh* and Pham Thi Hoai, Ky Fan’s inequalities for vector-valued multifunctions intopological ordered spaces, Fixed Point Theory 15 (2014), 253-264.
  

• Nguyen The Vinh, Some further applications of KKM theorem in topological semilattices, The Journal of Nonlinear Science and Applications 5 (2012), 161–173.
  

• Nguyen The Vinh, On essential components of the solution set of a generalized Ky Fan inequality, Communications on Applied Nonlinear Analysis 17 (2010), 89-100.
  

• Nguyen The Vinh, Systems of generalized quasi-Ky Fan inequalities and Nash equilibrium points with set-valued maps in topological semilattices, PanAmerican Mathematical Journal 19 (2009), 79-92.
  

• Nguyen The Vinh, Some generalized quasi-Ky Fan inequalities in topological ordered spaces, Vietnam Journal of Mathematics 36 (2008), 437-449.
  

• Nguyen The Vinh, Matching theorems, fixed point theorems and minimax inequalities in topological ordered spaces, Acta Mathematica Vietnamica 30 (2005), 211-224.