Generalized coupled common fixed point results in partially ordered A-metric spaces

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Authors

Abbas, Mujahid
Ali, Bashir
Suleiman, Yusuf I.

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SpringerOpen

Abstract

Sedghi et al. (Mat. Vesn. 64(3):258-266, 2012) introduced the notion of a S-metric as a generalized metric in 3-tuples S : X3→[0,∞), where X is a nonempty set. The aim of this paper is to introduce the concept of an n-tuple metric A : Xn→[0,∞) and to study its basic topological properties. We also prove some generalized coupled common fixed point theorems for mixed weakly monotone maps in partially ordered A-metric spaces. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.

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Keywords

Coupled common fixed point, 2-Metric spaces, D-Metric spaces, D*-Metric spaces, G-Metric spaces, S-Metric spaces, A-Metric spaces, Mixed weakly monotone maps

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Abbas, M, Ali, B & Suleiman, YI 2015, 'Generalized coupled common fixed point results in partially ordered A-metric spaces', Fixed Point Theory and Applications, art. 64, pp. 1-24.