Open Access

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

Journal of Inequalities and Applications20072007:056161

https://doi.org/10.1155/2007/56161

Received: 7 June 2006

Accepted: 18 December 2006

Published: 25 February 2007

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Sichuan University
(2)
Department of Applied Mathematics, National Sun Yat-sen University

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Copyright

© Ke-Qing Wu et al. 2007

This article is published under license to BioMed Central Ltd. 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.