TY  - JOUR
AU  - Ma, Fei
AU  - Yang, Jun
AU  - Yin, Min
PY  - 2022
TI  - A strong convergence theorem for solving pseudo-monotone variational inequalities and fixed point problems using subgradient extragradient method in Banach spaces
JO  - AIMS Mathematics
SP  - 5015
EP  - 5028
VL  - 7
IS  - 4
AB  - 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.
UR  - https://doi.org/10.3934/math.2022279
DO  - 10.3934/math.2022279