The existence of fixed and periodic point theorems in cone metric type spaces


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.


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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


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