Strong convergence theorems based on the viscosity approximation method for a countable family of nonexpansive mappings
Mozhgan Bagherboum, Abdolrahman Razani, Choonkil Park · Journal of Inequalities and Applications · 2014
Abstract In a real Hilbert space, an iterative scheme is considered to obtain a common fixed point for a countable family of nonexpansive mappings. In addition, strong convergence to the common fixed point of this sequence is investigated. As an application, an equilibrium problem is solved. We also state more applications of this procedure to obtain a common fixed point of W-mappings. MSC:47H09, 47H10, 47J20.