On generalized extragradient implicit method for systems of variational inequalities with constraints of variational inclusion and fixed point problems

Abstract In a real Banach space, let the VI indicate variational inclusion for two accretive operators and CFPP denote common fixed point problem of countably many nonexpansive mappings. this article, we introduce generalized extragradient implicit method solving general system inequalities (GSVI) with constraints. Strong convergence suggested to solution GSVI constraints under some suitable assumptions is established.