Fixed Point Results for Generalized Rational (α,ψ,φ)- Geraghty Contraction Type Mappings in b- Metric Spaces

Abstract

In this research work we introduced generalized rational (α,ψ,φ)-Geraghty con traction type mappings and proved existence and uniqueness of fixed point for the mappings introduced in the setting of complete b-metric spaces. Our results extend and generalize related fixed-point results in the literature. Also, we provided ex amples in support of our main results. In this research under taking, we followed analytical study design and used secondary sources of data such as published paper and related books.