Open Access

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

Fixed Point Theory and Applications20062006:30847

https://doi.org/10.1155/FPTA/2006/30847

Received: 15 April 2006

Accepted: 13 August 2006

Published: 9 November 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.

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Authors’ Affiliations

(1)
Department of Natural Science, Nha Trang Educational College
(2)
Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University

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Copyright

© L. T. P. Ngoc and N. T. Long. 2006

This article is published under license to BioMed Central Ltd. 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.