Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 189684, 13 pages
doi:10.1155/2010/189684
Some fixed point theorems of integral type contraction in cone metric spaces
Farshid Khojasteh1
, Zahra Goodarzi2
and Abdolrahman Razani2
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
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.