In this paper, we introduce the concept of a generalized-Suzuki-Geraghty type
contraction mapping and obtain fixed point results in the framework of an f-orbitally
complete b-metric space. The results proved herein improve, generalize, and unify various
comparable results in the existing literature. Some examples are presented to validate
the effectiveness and applicability of our main result. It is also shown that the presented
results are proper extensions of corresponding results in the existing literature. As an
application of our obtained result, we establish the existence of a solution of integral
equations in the setup of b-metric spaces.