Author/Authors :
Hussain, Azhar Department of Mathematics - University of Sargodha, Sargodha, Pakistan. , Ishfaq, Muhammad Department of Mathematics - University of Sargodha, Sargodha, Pakistan , Kanwala, Tanzeela Department of Mathematics - University of Sargodha, Sargodha, Pakistan , Radenovic, Stojan Department of Mathematics - University of Sargodha, Sargodha, Pakistan
Abstract :
In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with 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.