A novel inertial projection and contraction method for solving pseudomonotone variational inequality problems

P Cholamjiak, DV Thong, YJ Cho - Acta Applicandae Mathematicae, 2020 - Springer
In this paper, we introduce a new algorithm which combines the inertial contraction
projection method and the Mann-type method (Mann in Proc. Am. Math. Soc. 4: 506–510 …

[PDF][PDF] Iterative algorithms for generalized variational inequalities

Y Yao, M Postolache, JC Yao - UPB Sci. Bull., Ser. A, 2019 - scientificbulletin.upb.ro
ITERATIVE ALGORITHMS FOR GENERALIZED VARIATIONAL INEQUALITIES MSC2010:
49J53, 90C25. 1. Introduction Let H be a real Hilbert spa Page 1 UPB Sci. Bull., Series A …

Revisiting subgradient extragradient methods for solving variational inequalities

B Tan, X Qin, SY Cho - Numerical Algorithms, 2022 - Springer
In this paper, several extragradient algorithms with inertial effects and adaptive non-
monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real …

Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems

B Tan, X Qin, JC Yao - Journal of Global Optimization, 2022 - Springer
This paper investigates some inertial projection and contraction methods for solving
pseudomonotone variational inequality problems in real Hilbert spaces. The algorithms use …

Improved inertial extragradient methods for solving pseudo-monotone variational inequalities

P Ky Anh, D Viet Thong, NT Vinh - Optimization, 2022 - Taylor & Francis
Thong et al.(A strong convergence theorem for Tseng's extragradient method for solving
variational inequality problems. Optim Lett. 2020; 14: 1157–1175) introduced inertial …

New strong convergence theorem of the inertial projection and contraction method for variational inequality problems

DV Thong, NT Vinh, YJ Cho - Numerical Algorithms, 2020 - Springer
In this paper, we introduce a new algorithm which combines the inertial projection and
contraction method and the viscosity method for solving monotone variational inequality …

Accelerated subgradient extragradient methods for variational inequality problems

DV Thong, NT Vinh, YJ Cho - Journal of Scientific Computing, 2019 - Springer
In this paper, we introduce two new iterative algorithms for solving monotone variational
inequality problems in real Hilbert spaces, which are based on the inertial subgradient …

[HTML][HTML] Weak and strong convergence Bregman extragradient schemes for solving pseudo-monotone and non-Lipschitz variational inequalities

LO Jolaoso, M Aphane - Journal of Inequalities and Applications, 2020 - Springer
In this paper, we introduce Bregman subgradient extragradient methods for solving
variational inequalities with a pseudo-monotone operator which are not necessarily …

Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem

B Tan, P Sunthrayuth, P Cholamjiak… - International Journal of …, 2023 - Taylor & Francis
In order to discover the minimum-norm solution of the pseudomonotone variational
inequality problem in a real Hilbert space, we provide two variants of the inertial …

Inertial projection and contraction methods for pseudomonotone variational inequalities with non-Lipschitz operators and applications

B Tan, S Li, SY Cho - Applicable Analysis, 2023 - Taylor & Francis
In this paper, some new accelerated iterative schemes are proposed to solve the variational
inequality problem with a pseudomonotone and uniformly continuous operator in real Hilbert …