In this paper, we propose two methods for solving variational inequalities. In the first method, we modified the extragradient method by using a new step size while the second method can be viewed as an extension of the first one by performing an additional projection step at each iteration and anot
โฆ LIBER โฆ
Modified Extragradient Method for Variational Inequalities and Verification of Solution Existence
โ Scribed by Y. J. Wang; N. H. Xiu; J. Z. Zhang
- Book ID
- 111595302
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 109 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0022-3239
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In this paper, we propose a new version of extragradient method for the variational inequality problem. The method uses a new searching direction which differs from any one in existing projection-type methods, and is of a better stepsize rule. Under a certain generalized monotonicity condition, it i