On \(\nabla^{**}\)-distance and fixed point theorems in generalized partially ordered \(D^*\)-metric spaces
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Authors
Alaa Mahmood AL. Jumaili
- School of Mathematics and Statistics, Huazhong University of Science and Technology Wuhan city, Hubei province, Post. No. 430074, China.
Xiao Song Yang
- School of Mathematics and Statistics, Huazhong University of Science and Technology Wuhan city, Hubei province, Post. No. 430074, China.
Abstract
In this paper, we introduce a new concept on a complete generalized \(D^*\)-metric space by using the concept
of generalized \(D^*\)-metric space (\(D^*\)-cone metric space) called \(\nabla^{**}\)-distance and, by using the concept of the
\(\nabla^{**}\)-distance we prove some new fixed point theorems in complete partially ordered generalized \(D^*\)-metric
space which is the main result of our paper.
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ISRP Style
Alaa Mahmood AL. Jumaili, Xiao Song Yang, On \(\nabla^{**}\)-distance and fixed point theorems in generalized partially ordered \(D^*\)-metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 1, 46--54
AMA Style
Jumaili Alaa Mahmood AL., Yang Xiao Song, On \(\nabla^{**}\)-distance and fixed point theorems in generalized partially ordered \(D^*\)-metric spaces. J. Nonlinear Sci. Appl. (2015); 8(1):46--54
Chicago/Turabian Style
Jumaili, Alaa Mahmood AL., Yang, Xiao Song. "On \(\nabla^{**}\)-distance and fixed point theorems in generalized partially ordered \(D^*\)-metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 1 (2015): 46--54
Keywords
- Fixed point theorem
- generalized \(D^*\)-metric spaces
- \(\nabla^{**}\)-distance.
MSC
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