The existence of fixed and periodic point theorems in cone metric type spaces
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Authors
Poom Kumam
- Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Bang Mod, Thrung Khru,, Bangkok, 10140, Thailand.
Hamidreza Rahimi
- Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P.O. Box 13185/768, Tehran, Iran.
Ghasem Soleimani Rad
- Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P.O. Box 13185/768, Tehran, Iran.
Abstract
In this paper, we consider cone metric type spaces which are introduced as a generalization of symmetric
and metric spaces by Khamsi and Hussain [M.A. Khamsi and N. Hussain, Nonlinear Anal. 73 (2010),
3123-3129]. Then we prove several fixed and periodic point theorems in cone metric type spaces.
Share and Cite
ISRP Style
Poom Kumam, Hamidreza Rahimi, Ghasem Soleimani Rad, The existence of fixed and periodic point theorems in cone metric type spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 4, 255--263
AMA Style
Kumam Poom, Rahimi Hamidreza, Rad Ghasem Soleimani, The existence of fixed and periodic point theorems in cone metric type spaces. J. Nonlinear Sci. Appl. (2014); 7(4):255--263
Chicago/Turabian Style
Kumam, Poom, Rahimi, Hamidreza, Rad, Ghasem Soleimani. "The existence of fixed and periodic point theorems in cone metric type spaces." Journal of Nonlinear Sciences and Applications, 7, no. 4 (2014): 255--263
Keywords
- Metric type space
- Fixed point
- Periodic point
- Property P
- Property Q
- Cone metric space.
MSC
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