@article{Ma2022, 
author = {Fei Ma and Jun Yang and Min Yin},
title = {A strong convergence theorem for solving pseudo-monotone variational inequalities and fixed point problems using subgradient extragradient method in Banach spaces},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {5015-5028},
keywords = {variational inequalities, subgradient extragradient method, fixed point problem, Banach space, strong convergence},
url = {https://www.sciopen.com/article/10.3934/math.2022279},
doi = {10.3934/math.2022279},
abstract = {In this paper, we introduce an algorithm for solving variational inequalities problem with Lipschitz continuous and pseudomonotone mapping in Banach space. We modify the subgradient extragradient method with a new and simple iterative step size, and the strong convergence to a common solution of the variational inequalities and fixed point problems is established without the knowledge of the Lipschitz constant. Finally, a numerical experiment is given in support of our results.}
}