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

Volume 8, Issue 1, pp 46--54
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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.

### Share and Cite

##### 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.

•  47H10
•  54H25

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