Convergence of Iterative Algorithm for Finding Common Solution of Fixed Points and General System of Variational Inequalities for Two Accretive Operators

In this paper, we prove a strong convergence theorem for finding a common solutions of a general system of variational inequalities involving two different inverse-strongly accretive operators and solutions of fixed point problems involving the nenexpansive mapping in a Banach space by using a modified viscosity extragradient method. Moreover, using the above results, we can apply to finding solutions of zeros of accretive operators and the class of k -strictly pseudo-contractive mappings. The results presented in this paper extend and improve the corresponding results of Qin et al. [1], Aoyama et al. [2], Yao et al. [3] and many others.

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