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Best proximity point theorems by $K$, $C$ and $\mathcal{MT}$ types in $b$-metric spaces with an application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1317-1329 اصل مقاله (381.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.19156.2060 | ||
| نویسندگان | ||
| Setareh Ghezellou1؛ Mahdi Azhini2؛ Mehdi Asadi* 3 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. | ||
| 3Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran | ||
| تاریخ دریافت: 02 آذر 1398، تاریخ پذیرش: 18 خرداد 1400 | ||
| چکیده | ||
| In this paper, we introduce the concept of weak $\mathcal{MT}-K$ rational cyclic and weak $\mathcal{MT}-C$ rational cyclic conditions and a combination of both conditions in what we call weak $\mathcal{MT}-KC$ rational cyclic condition. We investigate some best proximity points theorems for a pair of mappings that satisfy these conditions that have been established in $b$-metric spaces. Our results include an application to the nonlinear integral equation as well. | ||
| کلیدواژه‌ها | ||
| $b$-metric space؛ $mathcal{MT}$-function؛ Rational cyclic condition؛ Cyclic map؛ Best proximity point | ||
| مراجع | ||
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