Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 979261, 11 pages
doi:10.1155/2011/979261
Research Article

The Iterative Method of Generalized 𝑢 0 -Concave Operators

Yanqiu Zhou, Jingxian Sun, and Jie Sun

Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China

Received 16 November 2010; Accepted 12 January 2011

Academic Editor: N. J. Huang

Copyright © 2011 Yanqiu Zhou et al. 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.

Abstract

We define the concept of the generalized 𝑢 0 -concave operators, which generalize the definition of the 𝑢 0 -concave operators. By using the iterative method and the partial ordering method, we prove the existence and uniqueness of fixed points of this class of the operators. As an example of the application of our results, we show the existence and uniqueness of solutions to a class of the Hammerstein integral equations.