Common fixed point results for graph preserving mappings in parametric $N_b$-metric spaces

Authors

  • R. Kar Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
  • S. Kumar Mohanta Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
Abstract:

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of graph preserving mappings in parametric $N_b$-metric spaces. As some consequences of this study, we obtain several important results in parametric $b$-metric spaces, parametric $S$-metric spaces and parametric $A$-metric spaces. Finally, we provide some illustrative examples to justify the validity of our main result.  

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Journal title

volume 09  issue 02

pages  165- 183

publication date 2020-06-01

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