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Common fixed point results for graph preserving mappings in parametric \(N_b\)-metric spaces. (English) Zbl 1442.54041

Summary: 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.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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References:

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