On solutions of a system of variational inequalities and fixed point problems in Banach spaces
Lu-Chuan Ceng, Abdul Latif, Jen‐Chih Yao · Fixed Point Theory and Applications · 2013
Abstract In this paper, considering the problem of solving a system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in Banach spaces, we propose a two-step relaxed extragradient method which is based on Korpelevich’s extragradient method and viscosity approximation method. Strong convergence results are established. MSC:49J30, 47H09, 47J20.