Common Fixed Point Results for Rational Type Geraghty Contraction Mappings in B-Metric Spaces

Abstract

In this thesis work, we established common fixed point results for Suzuki-rational Geraghty contractive mappings in b-metric spaces and proved the existence and uniqueness of commons fixed point for a pair of self-mappings satisfying the established results. Our results extend fixed point to common fixed point for a pair of mappings satisfying Suzuki-rational Geraghty contraction condition in the setting of complete b- metric spaces. In this study we have followed analytical method of design and used secondary sources of data such as published articles and related books. Finally, we provided examples in support of our main findings.