viscosity approximation method; nonexpansive mapping; equilibrium problem; W-mapping; Hilbert space
Issue Date
2014-12
Publisher
Springer
Citation
Journal of Inequalities and Applications, 2014, 513, P.1-15
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.