Common fixed point results for graph preserving mappings in parametric $N_b$-metric spaces
محورهای موضوعی : Fixed point theory
S. Kumar Mohanta
1
(Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India)
R. Kar
2
(Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India)
کلید واژه: fixed point, digraph, Parametric $N_b$-metric, coincidence point,
چکیده مقاله :
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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