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A general framework of contraction methods for monotone variational inequalities. (English) Zbl 1190.90120

Summary: Variational inequality is a uniform approach for some important problems in optimization and equilibrium problems. In 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.

MSC:

90C25 Convex programming
90C30 Nonlinear programming
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