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On the existence of solutions for the variational inequality problem $V I(A, \psi, \phi,g;K)$ | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، شماره 2، بهمن 2021، صفحه 2517-2529 اصل مقاله (160.08 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23099.2477 | ||
نویسندگان | ||
Mohsen Alimohammadi* 1؛ Maysam Gilak2 | ||
1Department of Mathematics, University of Mazandaran, Babolsar, Iran | ||
2PhD student Mathematics department, University of Mazandaran, Babolsar, Iran | ||
تاریخ دریافت: 21 فروردین 1400، تاریخ پذیرش: 01 شهریور 1400 | ||
چکیده | ||
In this paper, we are concerned with the existence of a solution u 2 K for the variational inequality problem $ V I(A; \psi, \phi, g;K)$. Furthermore, we propose some conditions that ensure the well-posedness of this problem. We study an operator type $g - ql$ which extends the linear problem. Finally, we investigate the existence of solutions for general vector variational inequalities in the inclusion form. | ||
کلیدواژهها | ||
Variational inequality؛ Type $g-ql$؛ GKKM mapping؛ Well-posedness؛ Approximating sequence and Value cone set | ||
مراجع | ||
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