Generalized coupled common fixed point results in partially ordered A-metric spaces
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Date
Authors
Abbas, Mujahid
Ali, Bashir
Suleiman, Yusuf I.
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
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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Citation
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.