Mazur-Ulam theorem in intuitionistic fuzzy normed spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 17، شماره 4، تیر 2026، صفحه 1-10 اصل مقاله (355.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34107.5088 | ||
| نویسندگان | ||
| Alireza Pourmoslemi* 1؛ Kamal Fallahi2؛ Seiedeh Roghaye Fatemi Nezhad1 | ||
| 1Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697, Tehran, Iran | ||
| 2Javanroud Faculty of Management and Accounting, Razi University, Kermanshah, Iran | ||
| چکیده | ||
| In this paper, introducing the notion of intuitionistic strictly convex sets, and using functions that preserve equality of intuitionistic fuzzy distance, a new generalization of Mazur-Ulam theorem in intuitionistic fuzzy normed spaces is presented. Moreover, intuitionistic fuzzy isometries, segment-preserving functions, and norm-additive maps are used to study the prerequisites needed to prove the main theorem. | ||
| کلیدواژهها | ||
| Mazur-Ulam theorem؛ Intuitionistic fuzzy normed space؛ Intuitionistic strictly convex sets؛ Intuitionistic fuzzy distance | ||
| مراجع | ||
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