Commuting and compatible mappings in digital metric spaces

In this paper, we prove a common fixed point theorem for commuting mappings and some common fixed point theorems for compatible mappings and its variants in digital metric spaces. Furthermore, we give some examples in support of our results.

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Bibliographic Details
Published in:Journal of fixed point theory and applications 2020, Vol.22 (1), Article 5
Main Authors: Ege, Ozgur, Jain, Deepak, Kumar, Sanjay, Park, Choonkil, Shin, Dong Yun
Format: Article
Language:English
Subjects:
Analysis
Fixed points (mathematics)
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Metric space
Theorems
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Description
Summary:In this paper, we prove a common fixed point theorem for commuting mappings and some common fixed point theorems for compatible mappings and its variants in digital metric spaces. Furthermore, we give some examples in support of our results.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-019-0744-5