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We consider a new algorithm for a generalized system for relaxed cocoercive nonlinearinequalities involving three different operatorsin Hilbert spaces by the convergence ofprojection methods. Our results includethe previous results as special cases extend andimprove the main results of R. U. Verma  (2004), S. S. Changet al. (2007), Z. Y. Huang and M. A. Noor  (2007), and many others

A General Projection Method for a System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces