Strong convergence for solving a general system of variational inequalities and fixed point problems in Banach spaces
Lu-Chuan Ceng, Nawab Hussain, Abdul Latif, Jen‐Chih Yao · Journal of Inequalities and Applications · 2013
Abstract In this paper, we propose and analyze some iterative algorithms by hybrid viscosity approximation methods for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a uniformly convex Banach space which has a uniformly Gâteaux differentiable norm, and we prove some strong convergence theorems under appropriate conditions. The results presented in this paper improve, extend, supplement and develop the corresponding results recently obtained in the literature. MSC:49J30, 47H09, 47J20.