On \(\nabla^{**}\)-distance and fixed point theorems in generalized partially ordered \(D^*\)-metric spaces

Volume 8, Issue 1, pp 46--54 http://dx.doi.org/10.22436/jnsa.008.01.06

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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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Keywords

• Fixed point theorem
• generalized \(D^*\)-metric spaces
• \(\nabla^{**}\)-distance.

MSC

•  47H10
•  54H25

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