In this paper, we suggest and analyze a new implicit method for solving mixed monotone variational inequalities. This method can be viewed as an extension of He's method [1] for solving monotone variational inequalities.
On an Implicit Method for Nonconvex Variational Inequalities
โ Scribed by M. A. Noor
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 233 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this work, we suggest and analyze an extragradient method for solving general nonconvex variational inequalities using the technique of the projection operator. We prove that the convergence of the extragradient method requires only pseudomonotonicity, which is a weaker condition than requiring m
In this paper, we suggest and analyze an inexact implicit method with a variable parameter for mixed variational inequalities by using a new inexactness restriction. Under certain conditions, the global convergence of the proposed method is proved. Some preliminary computational results are given to
Our aim in this note is to give a counterexample to show that some existence theorems on implicit variational inequalities recently due to Fu are false. แฎ 1997 Academic Press w x In a recent paper, Fu 1 considered the following implicit variational problem, denoted by I.V.P.: Let X, Y be topological