Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 979586, 10 pages
doi:10.1155/2011/979586
Research Article

Fixed-Point Results for Generalized Contractions on Ordered Gauge Spaces with Applications

Cristian Chifu and Gabriela Petruşel

Faculty of Business, Babeş-Bolyai University, Horia Street no. 7, 400174 Cluj-Napoca, Romania

Received 6 December 2010; Accepted 31 December 2010

Academic Editor: Jen Chih Yao

Copyright © 2011 Cristian Chifu and Gabriela Petruşel. 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

The purpose of this paper is to present some fixed-point results for single-valued 𝜑 -contractions on ordered and complete gauge space. Our theorems generalize and extend some recent results in the literature. As an application, existence results for some integral equations on the positive real axis are given.