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Fixed point results via \(\alpha\)-admissible mappings and cyclic contractive mappings in partial \(b\)-metric spaces. (English) Zbl 1489.54169

Summary: Considering \(\alpha\)-admissible mappings in the setup of partial \(b\)-metric spaces, we establish some fixed and common fixed point results for ordered cyclic weakly \((\psi, \varphi, L, A, B)\)-contractive mappings in complete ordered partial \(b\)-metric spaces. Our results extend several known results in the literature. Examples are also provided in support of our results.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
54E40 Special maps on metric spaces
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