Fixed Point Results for Generalized Suzuki (y;f) - Contraction and (y;f) -Jungck-Suzuki Contraction Type Mappings in Complete b-Metric Spaces

Abstract

In this research, we introduced new class of mappings called generalized (y;f)- Suzuki-type mappings and generalized (y;f)- Jungck-Suzuki contraction type mappings and established existence and uniqueness of fixed point for generalized (y;f)- Suzuki-type mapping and studied coincidence point results for generalized (y;f)- Jungck-Suzuki contraction mappings in the frame work of complete b- metric spaces. Our results improve, extend and generalize some known results in the literature. Also, we provided examples in support of our main findings. In this research undertaking, we followed analytical study design and used secondary sources of data, such as published articles and related books