Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 1 2021 05 01 Gerghaty type results via simulation and $\mathcal{C}$-class functions with application 1057 1071 4972 10.22075/ijnaa.2019.16025.1842 EN Azhar Hussain Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan Muhammad Ishfaq Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan Tanzeela Kanwal Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan Stojan Radenovic Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, Serbia Journal Article 2018 09 25 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. https://ijnaa.semnan.ac.ir/article_4972_22590e17b4a3b2d6c5bcc859101c6352.pdf