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
Publication date:
10.6.2011.
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