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.



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Abbas, M., Makukula, Z. G., Ugwunnadi, G. C., Khan, A. R.