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Further investigation into the contractive condition in $\mathcal{D}$-generalized metric spaces with the transitivity | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 14، شماره 7، مهر 2023، صفحه 331-344 اصل مقاله (444.14 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22993.2447 | ||
| نویسندگان | ||
| Kanokwan Sawangsup1؛ Wutiphol Sintunavarat* 2 | ||
| 1Department of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna, Chiang Mai 50300, Thailand | ||
| 2Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12120, Thailand | ||
| تاریخ دریافت: 07 فروردین 1400، تاریخ پذیرش: 08 خرداد 1400 | ||
| چکیده | ||
| In this paper, we present fixed point results in $\mathcal{D}$-generalized metric spaces endowed with a transitive relation that is not necessarily a partial order. We also give two examples with numerical results to support our main results while fixed-point results in the literature are not applicable. Moreover, we introduce some new notions for consideration of the multidimensional fixed point results in the $\mathcal{D}$-generalized metric spaces. | ||
| کلیدواژه‌ها | ||
| Fixed point of $N$-order؛ $\mathcal{D}$-generalized metric space؛ transitive relation | ||
| مراجع | ||
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