Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications
Abdullah Eqal Al-Mazrooei,
Azhar Hussain,
Muhammad Ishfaq,
Jamshaid Ahmad
Affiliations
Abdullah Eqal Al-Mazrooei
Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia
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.
