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| Volume 4, Number 2, May 2008, pp. 195-212 | ||||||||
| Bingsheng He and Ming-Hua Xu | ||||||||
| Key words: | ||||||||
| Variational inequality, monotone, contraction method, discrete and continuous methods. | ||||||||
| Mathematices Subject Classification: 90C25, 90C30 | ||||||||
|
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| Volume 4, Number 2, May 2008, pp. 195-212 | ||||||||
| Bingsheng He and Ming-Hua Xu | ||||||||
| Key words: | ||||||||
| Variational inequality, monotone, contraction method, discrete and continuous methods. | ||||||||
| Mathematices Subject Classification: 90C25, 90C30 | ||||||||
|
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| Abstract: | |||
| Variational inequality is a uniform approach for some important problems in optimization and equilibrium problems. In this paper, we establish a general framework of contraction methods. Based on the directions offered by the framework, we construct different discrete methods and continuous models for monotone variational inequalities. Besides some existing methods are illustrated to be accordant with the framework, we present a new method for structured variational inequalities. | |||
| A general framework of contraction methods for monotone variational inequalities | ||