DYNAMICAL SYSTEM TECHNIQUE FOR SOLVING QUASI VARIATIONAL INEQUALITIES

被引：0

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

机构：

[1] Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

来源：

UPB Scientific Bulletin, Series C: Electrical Engineering and Computer Science | 2022年 / 84卷 / 04期

关键词：

Dynamical systems - Finite difference method - Variational techniques;

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学科分类号：

摘要：

In this paper, we introduce and consider second order dynamical system associated with quasi variational inequalities. Using the forward finite difference schemes, we suggest some iterative methods for solving the quasi variational inequalities. These new methods can be viewed as refinement of the extragradient methods of Korpelevich and Noor. Convergence analysis is investigated under certain mild conditions. Since the quasi variational inequalities include variational inequalities and complementarity problems as special cases, our results continue to hold for these problems. It is an interesting problem to compare these methods with other technique for solving quasi variational inequalities for further research activities. © 2022, Politechnica University of Bucharest. All rights reserved.

引用

页码：55 / 66