On fixed point results in partial \(b\)-metric spaces. (English) Zbl 1476.54099
Summary: Partial \(b\)-metric spaces are characterised by a modified triangular inequality and that the self-distance of any point of space may not be zero and the symmetry is preserved. The spaces with a symmetric property have interesting topological properties. This manuscript paper deals with the existence and uniqueness of fixed points for contraction mappings using triangular weak \(\alpha\)-admissibility with regard to \(\eta\) and \(C\)-class functions in the class of partial \(b\)-metric spaces. We also introduce an example to demonstrate the obtained results.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
Keywords:
partial \(b\)-metric spaces; fixed points; contraction mappings; triangular weak \(\alpha\)-admissibilityReferences:
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