Journal of Inequalities and Applications 
Volume 6 (2001), Issue 5, Pages 547-561
doi:10.1155/S1025583401000339

Approximating solution of nonlinear variational inclusions by Ishikawa iterative process with errors in Banach spaces

Nan-Jing Huang1 and George Xian-Zhi Yuan2

 1Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China
2Department of Mathematics, The University of Queensland, Brisbane 4072, QLD, Australia
Received 13 June 1999; Revised 20 January 2000

Abstract

In this paper, we introduce and study the existence of solutions and convergence of Ishikawa iterative processes with errors for a class of nonlinear variational inclusions with accretive type mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of [4–9, 11, 16–17,19].