Journal of Applied Mathematics
Volume 2013 (2013), Article ID 541079, 8 pages
Research Article

Strong Convergence Theorems for Solutions of Equations of Hammerstein Type

Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan

Received 11 March 2013; Accepted 18 April 2013

Academic Editor: Erdal Karapınar

Copyright © 2013 Chih-Sheng Chuang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider an auxiliary operator, defined in a real Hilbert space in terms of and , that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). We use an explicit iterative process that converges strongly to a solution of equation of Hammerstein type. Furthermore, our results improve related results in the literature.