Consequence of Fixed Point in Controlled Metric Space with Application

In this paper, we deduce certain generalized fixed point results as a consequence of our main results and obtain some common fixed point theorems for generalized contractions using specific control functions in controlled metric space. Additionally, Numerous well-known findings from the literature will be modified and generalized by our findings. To demonstrate the validity of the stated results, we also offer an example. We study the solution of integral equations as an application of our fundamental finding.