Geodesic
The existence of fixed and periodic point theorems in cone metric type spaces
Kumam, Poom1 ; Rahimi, Hamidreza2 ; Rad, Ghasem Soleimani2
1 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Bang Mod, Thrung Khru,, Bangkok, 10140, Thailand
2 Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P.O. Box 13185/768, Tehran, Iran
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 4, p. 255-263.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.007.04.03
Classification : 47H10, 54H25, 47H09
Keywords: Metric type space, Fixed point, Periodic point, Property P, Property Q, Cone metric space.

Kumam, Poom 1 ; Rahimi, Hamidreza 2 ; Rad, Ghasem Soleimani 2

1 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Bang Mod, Thrung Khru,, Bangkok, 10140, Thailand
2 Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P.O. Box 13185/768, Tehran, Iran 
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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 its applications, Tome 7 (2014) no. 4, p. 255-263. doi : 10.22436/jnsa.007.04.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.04.03/

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