Sufficient conditions for the existence of solution for (ω − σ)-higher order strongly variational inequality

	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
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

آمار تعداد مشاهده مقاله: 18,905 تعداد دریافت فایل اصل مقاله: 12,570

پیوندهای مفید

آمار