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

Phayap Katchang, Poom Kumam

Abstract

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.