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Some valid generalizations of Boyd and Wong inequality and \((\psi,\phi)\)-weak contraction in partially ordered \(b\)-metric spaces. (English) Zbl 1480.54031

Summary: In this manuscript, we use \((\psi,\phi)\)-weak contraction to generalize coincidence point results which are established in the context of partially ordered \(b\)-metric spaces. The presented work explicitly generalized some recent results from the existing literature. Examples are also provided to show the authenticity of the established work.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
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