On the existence of solutions for the variational inequality problem $V I(A, \psi, \phi,g;K)$

	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
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
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