Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/22814
Title: Some new results in the existence and uniqueness of the solution to the variational inequality problem and its application
Authors: Pham, Quy Muoi
Van, Ba Cong
Duong, Xuan Hiep
Phan, Duc Tuan
Keywords: Variational inequality problem
Existence of solution
Uniqueness of solution
Convergence
Convergent rate
Projection method
Issue Date: 2018
Series/Report no.: Journal of Science, The University of DaNang-University of Science and Education;No 31(05) .- Page.1-6
Abstract: ln this article, we consider the existence and uniqueness of the solution to the variational inequality problems and applying these results to investigate the convergence and the convergent rate of a projection method for solving the problem. At first, we introduce the variational inequality problem in a general setting and some basic definitions. Then, we present normal results about the existence and uniqueness of the solution to this problem. After that, we prove new outcomes about the existence and uniqueness of the variational inequality problem. Finally, new results are used to study the convergence and convergence rate of the projection method to the variational inequality problem.
URI: http://dspace.ctu.edu.vn/jspui/handle/123456789/22814
ISSN: 1859-4603
Appears in Collections:Khoa học Trường ĐH Sư phạm - Đại học Đà Nẵng

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