The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator

Volume 7 Issue 4 October - December 2018

Research Paper

The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator

Poonam Mishra*, Shailesh Dhar Diwan**

*Department of Applied Mathematics, Amity School of Engineering and Technology, Amity University, Raipur, Chhattisgarh, India.

**Department of Applied Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.

Mishra, P., Diwan, S. D. (2018). The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator, i-manager's Journal on Mathematics, 7(4), 20-26. https://doi.org/10.26634/jmat.7.4.15278

Abstract

In this paper, we have used a new iterative method given by Thuy (2016), for the class of H-Accretive operator in a q-uniformly smooth Banach space. Further, we have used this method to find a solution for the variational inequalities over the set of common fixed points of a family of nonexpansive mappings in Banach Space. Our result improves and generalizes some recent results in the literature.