Journal of Applied Mathematics
Volume 2011 (2011), Article ID 743923, 7 pages
http://dx.doi.org/10.1155/2011/743923
Research Article

On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation

M. Eshaghi Gordji,1 H. Baghani,1 and O. Baghani2

1Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Semnan, Iran
2Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Received 26 May 2011; Revised 10 August 2011; Accepted 27 August 2011

Academic Editor: Kuppalapalle Vajravelu

Copyright © 2011 M. Eshaghi Gordji 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.

Abstract

The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋 ∶ = 𝐶 ( [ 𝑎 , 𝑏 ] , ℝ 𝑛 ) . Later on, we give some examples of applications of this type of results.