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A comparative analysis of hypergroupoids derived from metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 17، شماره 1، فروردین 2026، صفحه 1-10 اصل مقاله (383.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33780.5038 | ||
| نویسندگان | ||
| Kazem Hamidizadeh1؛ Saeed Mirvakili* 2؛ Rauofeh Manaviyat1؛ Hossein Naraghi1 | ||
| 1Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 2Department of Mathematical Sciences, Yazd University, Yazd, Iran | ||
| تاریخ دریافت: 25 فروردین 1403، تاریخ بازنگری: 18 تیر 1403، تاریخ پذیرش: 26 تیر 1403 | ||
| چکیده | ||
| This study investigates the correlation between various hypergroupoids and a specified metric space, examining the distinctive characteristics of this hyperstructure. Through rigorous analysis, our inquiry establishes the potential of these hypergroupoids to function as commutative quasihypergroups. Additionally, we delineate specific conditions under which these hypergroupoids exhibit hypergroup properties, shedding light on the complex interplay of these mathematical structures within the context of the given metric space. Finally, a metric space obtained from a given hypergroupoid is introduced. | ||
| کلیدواژهها | ||
| Metric space؛ hypergroupoid؛ Hypergroup؛ $H_v$-group | ||
| مراجع | ||
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