Original scientific paper

On an iterative algorithm for variational inequalities in Banach spaces

Yonghong Yao ; Department of Mathematics, Tianjin Polytechnic University, Tianjin, P.R. China
Muhammad Aslam Noor ; Mathematics Department, College of Science, King Saud University, Riyadh , Saudi Arabia
Khalida Inayat Noor ; Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Yeong-Cheng Liou ; Department of Information Management, Cheng Shiu University, Kaohsiung, Taiwan

Abstract

In this paper, we suggest and analyze a new iterative method for solving some variational inequality involving an accretive operator in Banach spaces. We prove the strong convergence of the proposed iterative method under certain conditions. As a special of the proposed algorithm, we proved that the algorithm converges strongly to the minimum norm solution of some variational inequality.

Keywords

iterative algorithm; accretive mapping; variational inequality; strong convergence; Banach space

Hrčak ID:

68626

URI

https://hrcak.srce.hr/68626

Publication date:

10.6.2011.

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