Viscosity approximation process for a sequence of quasinonexpansive mappings
Koji Aoyama, Fumiaki Kohsaka · Fixed Point Theory and Applications · 2014
We study the viscosity approximation method due to Moudafi for a fixed point problem of quasinonexpansive mappings in a Hilbert space. First, we establish a strong convergence theorem for a sequence of quasinonexpansive mappings. Then we employ our result to approximate a solution of the variational inequality problem over the common fixed point set of the sequence of quasinonexpansive mappings. MSC:47H09, 47H10, 41A65.