Strong convergence of inertial subgradient extragradient method for solving variational inequality in Banach space

In this paper, we introduce a modified inertial subgradient extragradient algorithm in a
2-uniformly convex and uniformly smooth real Banach space and prove a strong convergence theorem for approximating
a common solution of fixed point equation with a demigeneralized mapping and a variational
inequality problem of a monotone and Lipschitz mapping. We present an example to validate our new findings.
This work substantially improves and generalizes some well-known results in the literature.