On Fixed Point Results in Partial b -Metric Spaces

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 point points for contraction mappings using triangular weak α -admissibility with regard to η and C -class functions in the class of partial b -metric spaces. We also introduce an example to demonstrate the obtained results.