Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 30847, 24 pages

On a fixed point theorem of Krasnosel'skii type and application to integral equations

Le Thi Phuong Ngoc1 and Nguyen Thanh Long2

1Department of Natural Science, Nha Trang Educational College, 01 Nguyen Chanh Street, Nha Trang City, Vietnam
2Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University, 227 Nguyen Van Cu Street, Dist. 5, Ho Chi Minh, Vietnam

Received 15 April 2006; Revised 30 June 2006; Accepted 13 August 2006

Copyright © 2006 Le Thi Phuong Ngoc and Nguyen Thanh Long. 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.


This paper presents a remark on a fixed point theorem of Krasnosel'skii type. This result is applied to prove the existence of asymptotically stable solutions of nonlinear integral equations.