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

Jumaili, Alaa Mahmood AL.¹ ; Yang, Xiao Song²

¹ School of Mathematics and Statistics, Huazhong University of Science and Technology Wuhan city, Hubei province, Post. No. 430074, China
² School of Mathematics and Statistics, Huazhong University of Science and Technology Wuhan city, Hubei province, Post. No. 430074, China

Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 1, p. 46-54.

Résumé

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.

Détail

DOI : 10.22436/jnsa.008.01.06

Classification : 47H10, 54H25
Keywords: Fixed point theorem, generalized \(D^*\)-metric spaces, \(\nabla^{**}\)-distance.

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