Journal of Inequalities and Applications 
Volume 6 (2001), Issue 6, Pages 577-597
doi:10.1155/S1025583401000352

Iterative approximations for solutions of nonlinear equations involving non-self-mappings

Haiyun Zhou,1 Yeol Je Cho,2 and Shin Min Kang2

 1Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China
2Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Received 8 December 1999; Revised 1 March 2000

Abstract

In this paper, by virtue of some new approach techniques, we prove several strong convergence theorems for iterative approximation of either fixed points or zeros of a class of non-self-mappings in general Banach spaces. Moreover, specific error estimations are also given.