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

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

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