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Sufficient conditions for the existence of solution for (ω − σ)-higher order strongly variational inequality | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 19، دوره 15، شماره 2، اردیبهشت 2024، صفحه 233-238 اصل مقاله (349.01 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28540.3925 | ||
| نویسندگان | ||
| Sahar Rangbar؛ Ali Farajzadeh* | ||
| Department of Mathematics, Razi University, Kermanshah, 67149, Iran | ||
| تاریخ دریافت: 06 مهر 1401، تاریخ پذیرش: 17 دی 1401 | ||
| چکیده | ||
| In this paper, a new version of a higher-order strongly convex function is introduced which is named $(\omega-\sigma)$-higher-order strongly convex function. Sufficient conditions for the existence of minimum for $(\omega-\sigma)$-higher order strongly convex function is provided. The vector version of $(\omega-\sigma)$-higher order strongly convex function is given and by using KKM theory an existence results for a solution of it is proved. Moreover, the compactness of the solution set of the vector version of $(\omega-\sigma)$-higher order strongly convex function is investigated. The results of this article improve and extend the corresponding results presented in this area. | ||
| کلیدواژه‌ها | ||
| (ω − σ)- higher order convex function؛ higher order variational inequalities؛ KKM Theory | ||
| مراجع | ||
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