- - - Department of Mathematics, University of Sargodha, Sargodha-۴۰۱۰۰, Pakistan
- - - Department of Mathematics, University of Sargodha, Sargodha-۴۰۱۰۰, Pakistan
- - - Department of Mathematics, University of Sargodha, Sargodha-۴۰۱۰۰, Pakistan
- - - Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije ۱۶, ۱۱۱۲۰ Beograd ۳۵, Serbia

In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with \mathcal{C}-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces. An example is given to show the validity of our results given herein. Moreover, existence of solution of two-point boundary value second order nonlinear differential equation is obtain.

simulation functions, mathcal{C}-class function, partially ordered metric space