Subgradient extragradient method with double inertial steps for variational inequalities

Y Yao, OS Iyiola, Y Shehu - Journal of Scientific Computing, 2022 - Springer
In this paper, we obtain successively weak, strong and linear convergence analysis of the
sequence of iterates generated by our proposed subgradient extragradient method with …

The forward–backward–forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

RI Boţ, ER Csetnek, PT Vuong - European Journal of Operational Research, 2020 - Elsevier
Tseng's forward–backward–forward algorithm is a valuable alternative for Korpelevich's
extragradient method when solving variational inequalities over a convex and closed set …

Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

VA Uzor, TO Alakoya, OT Mewomo - Open Mathematics, 2022 - degruyter.com
In this paper, we study the problem of finding a common solution of the pseudomonotone
variational inequality problem and fixed point problem for demicontractive map**s. We …

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 …

A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods

LO Jolaoso, A Taiwo, TO Alakoya… - Journal of optimization …, 2020 - Springer
Several iterative methods have been proposed in the literature for solving the variational
inequalities in Hilbert or Banach spaces, where the underlying operator A is monotone and …

Convergence of an extragradient-type method for variational inequality with applications to optimal control problems

PT Vuong, Y Shehu - Numerical Algorithms, 2019 - Springer
Our aim in this paper is to introduce an extragradient-type method for solving variational
inequality with uniformly continuous pseudomonotone operator. The strong convergence of …

Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence

Y Shehu, OS Iyiola - Applied Numerical Mathematics, 2020 - Elsevier
The projection methods with vanilla inertial extrapolation step for variational inequalities
have been of interest to many authors recently due to the improved convergence speed …

Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space

LO Jolaoso, TO Alakoya, A Taiwo, OT Mewomo - Optimization, 2021 - Taylor & Francis
In this paper, we propose a new viscosity type inertial extragradient method with Armijo line-
search technique for approximating a common solution of equilibrium problem with pseudo …