Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 189684, 13 pages
doi:10.1155/2010/189684
Research Article

Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Spaces

Farshid Khojasteh,1 Zahra Goodarzi,2 and Abdolrahman Razani2,3

1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, Iran
2Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, 34149-16818, Iran
3School of Mathematics, Institute for Research in Fundamental Sciences, P.O. Box 19395-5746, Tehran, Iran

Received 1 October 2009; Accepted 11 February 2010

Academic Editor: Jerzy Jezierski

Copyright © 2010 Farshid Khojasteh 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 a new concept of integral with respect to a cone. Moreover, certain fixed point theorems in those spaces are proved. Finally, an extension of Meir-Keeler fixed point in cone metric space is proved.