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.


Abstract

carpathian_2019_35_3_327_338_abstract

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.

Additional Information

Author(s)

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