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
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.