New common fixed point theorem for a family of non-self mappings in cone metric spaces
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Authors
Xianjiu Huang
- Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China.
Xinxin Lu
- Department of Mathematics, Nanchang University,, , ., Nanchang, 330031, Jiangxi, P. R. China.
Xi Wen
- Department of Computer Sciences, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China.
Abstract
In this paper, we prove a common fixed point theorem for a family of non-self mappings satisfying generalized
contraction condition of Ciric type in cone metric spaces (over the cone which is not necessarily normal).
Our result generalizes and extends all the recent results related to non-self mappings in the setting of cone
metric space.
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ISRP Style
Xianjiu Huang, Xinxin Lu, Xi Wen, New common fixed point theorem for a family of non-self mappings in cone metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 387--401
AMA Style
Huang Xianjiu, Lu Xinxin, Wen Xi, New common fixed point theorem for a family of non-self mappings in cone metric spaces. J. Nonlinear Sci. Appl. (2015); 8(4):387--401
Chicago/Turabian Style
Huang, Xianjiu, Lu, Xinxin, Wen, Xi. "New common fixed point theorem for a family of non-self mappings in cone metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 387--401
Keywords
- Cone metric spaces
- Common fixed point
- Non-self mappings
- Contraction condition of Ciric type.
MSC
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