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A new class of contraction in \(b\)-metric spaces and applications. (English) Zbl 1470.54074

Summary: A novel class of \(\alpha\)-\(\beta\)-contraction for a pair of mappings is introduced in the setting of \(b\)-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation.

MSC:

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