Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 56161, 12 pages
doi:10.1155/2007/56161
Research Article

Existence Theorems of Solutions for a System of Nonlinear Inclusions with an Application

Ke-Qing Wu,1 Nan-Jing Huang,1 and Jen-Chih Yao2

 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

Recommended by H. Bevan Thompson

Abstract

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.