carpatihian_2019_35_3_327_338_001

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.


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carpathian_2019_35_3_327_338

 

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

DOI

https://doi.org/10.37193/CJM.2019.03.07