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A Common Fixed Point Theorem in -Metric Spaces

Abstract

We give some new definitions of -metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete -metric spaces. We get some improved versions of several fixed point theorems in complete -metric spaces.

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Correspondence to Shaban Sedghi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Sedghi, S., Shobe, N. & Zhou, H. A Common Fixed Point Theorem in -Metric Spaces. Fixed Point Theory Appl 2007, 027906 (2007). https://doi.org/10.1155/2007/27906

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