Gerghaty type results via simulation and $\mathcal{C}$-class functions with application

	Gerghaty type results via simulation and $\mathcal{C}$-class functions with application
International Journal of Nonlinear Analysis and Applications
مقاله 84، دوره 12، شماره 1، مرداد 2021، صفحه 1057-1071 اصل مقاله (393.71 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.16025.1842
نویسندگان
Azhar Hussain^* ¹؛ Muhammad Ishfaq¹؛ Tanzeela Kanwal¹؛ Stojan Radenovic²
¹Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan
²Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, Serbia
چکیده
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.
کلیدواژه‌ها
Simulation functions؛ $\mathcal{C}$-class function؛ partially ordered metric space
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