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We study the strong convergence of a hybrid steepest descent method with variable parameters for the general variational inequality (GVI) (F,g,C). Consequently, as an application, we obtain some  results concerning the constrained generalized pseudoinverse.  Our results extend and improve the result of Yao  and Noor (2007) and many  others

Hybrid Steepest Descent Method with Variable Parameters for General Variational Inequalities