Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications

B Tan, X Qin - Mathematical Modelling and Analysis, 2022 - jau.vgtu.lt
In this paper, we introduce two new inertial extragradient algorithms with non-monotonic
stepsizes for solving monotone and Lipschitz continuous variational inequality problems in …

Self-adaptive inertial extragradient algorithms for solving variational inequality problems

B Tan, J Fan, S Li - Computational and Applied Mathematics, 2021 - Springer
In this paper, we study the strong convergence of two Mann-type inertial extragradient
algorithms, which are devised with a new step size, for solving a variational inequality …

[PDF][PDF] Two inertial extragradient viscosity algorithms for solving variational inequality and fixed point problems

M Abbas, H Iqbal - Journal of Nonlinear and Variational Analysis, 2020 - jnva.biemdas.com
The aim of this paper is to propose two different kinds of self-adaptive algorithms for finding
a common solution in the set of solutions of the variational inequality problem with a …

Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems

B Tan, Z Zhou, S Li - Journal of Applied Mathematics and Computing, 2022 - Springer
The paper presents two inertial viscosity-type extragradient algorithms for finding a common
solution of the variational inequality problem involving a monotone and Lipschitz continuous …

Strong convergence of the modified inertial extragradient method with line-search process for solving variational inequality problems in Hilbert spaces

Z Xie, G Cai, X Li, QL Dong - Journal of Scientific Computing, 2021 - Springer
The aim of this paper is to give a strong convergence theorem of a new iterative algorithm for
solving variational inequalities with pseudomonotone and non-Lipschitzian operators in real …

Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems

TO Alakoya, LO Jolaoso, OT Mewomo - Optimization, 2021 - Taylor & Francis
In this paper, we study a classical monotone and Lipschitz continuous variational inequality
and fixed point problems defined on a level set of a convex function in the setting of Hilbert …

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 …

Strong convergence of an inertial extragradient method with an adaptive nondecreasing step size for solving variational inequalities

NX Linh, DV Thong, P Cholamjiak, PA Tuan… - Acta Mathematica …, 2022 - Springer
In this work, we investigate a classical pseudomonotone and Lipschitz continuous
variational inequality in the setting of Hilbert space, and present a projection-type …

Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

J Yang - Applicable Analysis, 2021 - Taylor & Francis
In this paper, we introduce an inertial algorithm for solving classical variational inequalities
with Lipschitz continuous and pseudomonotone mapping in real Hilbert space. The …

Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems

GN Ogwo, C Izuchukwu, Y Shehu… - Journal of Scientific …, 2022 - Springer
In this paper, we present two new relaxed inertial subgradient extragradient methods for
solving variational inequality problems in a real Hilbert space. We establish the …