Ergodicity of the implicit midpoint rule for nonexpansive mappings
Hong‐Kun Xu, Maryam A Alghamdi, Naseer Shahzad · Journal of Inequalities and Applications · 2015
We prove a mean ergodic theorem for the implicit midpoint rule for nonexpansivemappings in a Hilbert space. We obtain weak convergence for the general case andstrong convergence for certain special cases. MSC: 47J25, 47N20, 34G20, 65J15.