Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 56161, 12 pages
Existence Theorems of Solutions for a System of Nonlinear Inclusions with an Application
1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
2Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan
Received 7 June 2006; Revised 3 November 2006; Accepted 18 December 2006
Academic Editor: H. Bevan Thompson
Copyright © 2007 Ke-Qing Wu et al. 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.
By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for solving a system of nonlinear inclusions in Banach spaces. We
prove some new existence results of solutions for the system of nonlinear inclusions and discuss the convergence of the sequences generated by the algorithm. As an application, we show the existence of solution for a system of functional equations arising in dynamic programming of multistage decision processes.