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Endpoint results for weakly contractive mappings in $\mathcal{F}$-metric spaces with application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 11، شماره 2، اسفند 2020، صفحه 351-361 اصل مقاله (439.35 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20368.2148 | ||
| نویسندگان | ||
| Hüseyin Işık* 1؛ Nawab Hussain2؛ Abdul Rahim Khan3 | ||
| 1Department of Mathematics, Muş Alparslan University, 49250 Muş, Turkey | ||
| 2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia | ||
| 3Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia | ||
| تاریخ دریافت: 21 بهمن 1397، تاریخ بازنگری: 26 خرداد 1399، تاریخ پذیرش: 03 مرداد 1399 | ||
| چکیده | ||
| Many researchers have provided certain interesting results for endpoints of some contractive multivalued mappings in metric spaces. In this paper, we introduce $\alpha$-$\zeta$-contractive multivalued mappings in $\mathcal{F}$-metric spaces and establish some endpoint results in this framework. An illustrative example is given to elaborate the usability of our main result. In the sequel, we give some endpoint theorems for Suzuki-type contractive multivalued mappings and provide an application to integral equations. | ||
| کلیدواژه‌ها | ||
| $\mathcal{F}$-metric spaces؛ endpoint؛ multivalued maps؛ integral equations | ||
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