Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 189684, 13 pages
Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Spaces
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.
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.