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Abstract and Applied Analysis
Volume 2014, Article ID 852324, 11 pages
Research Article

An Extension of Darbo’s Theorem and Its Application

Department of Mathematics, College of Basic Science, Karaj Branch, Islamic Azad University, Alborz, Iran

Received 8 February 2014; Accepted 4 April 2014; Published 11 May 2014

Academic Editor: Chuanzhi Bai

Copyright © 2014 A. Samadi and M. B. Ghaemi. 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.


Here, some extensions of Darbo fixed point theorem associated with measures of noncompactness are proved. Then, as an application, our attention is focused on the existence of solutions of the integral equation ,   , ,   / ,   ,   in the space of real functions defined and continuous on the interval .