Simulative Suzuki-Gerghaty Type Contraction With $\mathscr{C}$ -Class Functions and Applications

The purpose of this paper is to introduce the notion of a Suzuki-Gerghaty type contractive mapping via the simulation functions along with the C -class functions and prove the existence of the fixed point result. An example is given to show the validity of our results. Moreover, we prove the existence of solution of a nonlinear Hammerstein integral equation.