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

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



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