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 …

Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems

GN Ogwo, TO Alakoya, OT Mewomo - Optimization, 2023 - Taylor & Francis
In this paper, we propose and study new inertial viscosity Tseng's extragradient algorithms
with self-adaptive step size to solve the variational inequality problem (VIP) and the fixed …

Strong convergence of self-adaptive inertial algorithms for solving split variational inclusion problems with applications

B Tan, X Qin, JC Yao - Journal of Scientific Computing, 2021 - Springer
In this paper, four self-adaptive iterative algorithms with inertial effects are introduced to
solve a split variational inclusion problem in real Hilbert spaces. One of the advantages of …

Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space

S Reich, DV Thong, P Cholamjiak, L Van Long - Numerical Algorithms, 2021 - Springer
In this work, we investigate pseudomonotone variational inequality problems in a real Hilbert
space and propose two projection-type methods with inertial terms for solving them. The first …

A strongly convergent algorithm for solving common variational inclusion with application to image recovery problems

R Suparatulatorn, K Chaichana - Applied Numerical Mathematics, 2022 - Elsevier
In this paper, we present an accelerated approach for addressing the common variational
inclusion problem in real Hilbert spaces that incorporates several techniques. Under …

[HTML][HTML] Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

Y Arfat, OS Iyiola, MAA Khan, P Kumam… - Journal of Inequalities …, 2022 - Springer
In this paper, we compute a common solution of the fixed point problem (FPP) and the
generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking …

[HTML][HTML] Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces

LO Jolaoso, Y Shehu, YJ Cho - Journal of Inequalities and Applications, 2021 - Springer
In this paper, using a Bregman distance technique, we introduce a new single projection
process for approximating a common element in the set of solutions of variational …

A single projection algorithm with double inertial extrapolation steps for solving pseudomonotone variational inequalities in Hilbert space

DV Thong, VT Dung, PK Anh, H Van Thang - Journal of Computational and …, 2023 - Elsevier
In this work, we investigate a single projection method with double inertial extrapolation
steps and self-adaptive step sizes for solving pseudomonotone variational inequality …

Two fast converging inertial subgradient extragradient algorithms with variable stepsizes for solving pseudo-monotone VIPs in Hilbert spaces

DV Thong, QL Dong, LL Liu, NA Triet, NP Lan - Journal of Computational …, 2022 - Elsevier
In this work, we propose two new iterative schemes for finding an element of the set of
solutions of a pseudo-monotone, Lipschitz continuous variational inequality problem in real …

[HTML][HTML] A new class of computationally efficient algorithms for solving fixed-point problems and variational inequalities in real Hilbert spaces

W Kumam, H Rehman, P Kumam - Journal of Inequalities and Applications, 2023 - Springer
A family of inertial extragradient-type algorithms is proposed for solving convex
pseudomonotone variational inequality with fixed-point problems, where the involved …