Modified double inertial subgradient extrgradient method for solving variational inequality problems in Banach spaces
Fixed Point Methods and Optimization, Volume 1, Issue 2, December 2024, Pages 161–176
GODWIN C. UGWUNNADI
Department of Mathematics, University of Eswatini, Private Bag 4, Kwaluseni, Eswatini
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Pretoria 0204, South Africa
MURTALA H. HARBAU
Department of Science and Technology Education, Bayero University, Kano, Nigeria
MARYJOY O. EZUGORIE
Department of Mathematics, University of Nigeria, Nsukka, Nigeria
IKECHUKWU G. EZUGORIE
Department of Mathematics, Enugu State University of Science and Technology, Enugu, Nigeria
Abstract
We present a new method for solving variational inequality problems (VIPs)
based on double inertial terms with a modified subgradient extragradient self-adaptive
step size method. Our proposal utilizes double inertial acceleration to improve convergence
behavior and stability in solving VIPs. Strong convergence theorems for the proposed
algorithms are established under some mild assumptions on the control parameters in
Cite this Article as
Godwin C. Ugwunnadi, Murtala H. Harbau, Maryjoy O. Ezugorie & Ikechukwu G. Ezugorie, Modified double inertial subgradient extrgradient method for solving variational inequality problems in Banach spaces, Fixed Point Methods and Optimization, 1(2), 161–176, 2024