Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 30847, 24 pages
doi:10.1155/FPTA/2006/30847

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

Abstract

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.