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Non-linear contractions via auxiliary functions and fixed point results with some consequences | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 168، دوره 13، شماره 1، خرداد 2022، صفحه 2025-2042 اصل مقاله (431.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22017.2315 | ||
| نویسندگان | ||
| Ankush Chanda* 1؛ Lakshmi Kanta Dey2؛ Arslan Hojat Ansari3 | ||
| 1Department of Mathematics, Vellore Institute of Technology, Vellore, India | ||
| 2Department of Mathematics, National Institute of Technology Durgapur, India | ||
| 3Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| تاریخ دریافت: 14 آذر 1399، تاریخ پذیرش: 23 فروردین 1400 | ||
| چکیده | ||
| In this manuscript, we bring into play the essence of a new class of auxiliary functions, $C$-class functions, and exhibited some fixed point results. Notably, in this draft, we come up with the idea of modified $\mathcal{Z}_F$-contractions and enquire the existence and uniqueness of fixed points of such operators in the framework of $\theta $-metric spaces. Concerning the interpretation of the achieved results, some non-trivial examples are also studied. From obtained theorems, we derive several related fixed point results in usual metric spaces and $\theta $-metric spaces. | ||
| کلیدواژهها | ||
| Fixed point؛ $C$-class function؛ $\mathcal{Z}_{F}$-contraction؛ modified $\mathcal{Z}_F$-contraction | ||
| مراجع | ||
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