Convergence of an extragradient-like iterative algorithm for monotone mappings and nonexpansive mappings
Qing Yuan, Meijuan Shang · Fixed Point Theory and Applications · 2013
In this paper, we investigate the problem of finding some common element in the set of common fixed points of an infinite family of nonexpansive mappings and in the set of solutions of variational inequalities based on an extragradient-like iterative algorithm. Strong convergence of the purposed iterative algorithm is obtained. MSC: 47H05, 47H09, 47J25, 90C33.