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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 | ||
| تاریخ دریافت: 03 مهر 1397، تاریخ بازنگری: 25 آبان 1398، تاریخ پذیرش: 01 آذر 1398 | ||
| 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 | ||
| مراجع | ||
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