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Almost $\alpha$-$F$-contraction, fixed points and applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 375-386 اصل مقاله (406.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21717.2290 | ||
| نویسندگان | ||
| Deepak Kumar* 1؛ Anita Tomar2؛ Sumit Chandok3؛ Sharma Ritu4 | ||
| 1Department of Mathematics, Lovely Professional University, Phagwara, Punjab-144411, India | ||
| 2Department of Mathematics, Government Degree College Thatyur, Tehri Garhwal(Uttrakhand), India | ||
| 3School of Mathematics, Thapar Institute of Engineering \& Technology, Patiala-147004, Punjab, India | ||
| 4Department of Mathematics, G. I. C. Gheradhar (Dogi) Tehri Garhwal (Uttrakhand), India | ||
| تاریخ دریافت: 12 آبان 1399، تاریخ پذیرش: 03 اردیبهشت 1400 | ||
| چکیده | ||
| In this manuscript, we initiate an almost $\alpha$-$F$-contraction and an almost $\alpha$-$F$- weak contraction in the setting of partial metric spaces and establish adequate conditions for the presence of fixed points. The obtained results generalize the classical and recent results of the literature, which are validated by suitable examples. As applications of these established results, we solve a nonlinear fractional differential equation and a boundary value problem. | ||
| کلیدواژه‌ها | ||
| $alpha$-admissible؛ $0$-complete fixed point؛ $F$-contraction؛ partial metric space | ||
| مراجع | ||
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