On fixed point results in partial \(b\)-metric spaces (Q830142)

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.