General iteration scheme for finding the common fixed points of an infinite family of nonexpansive mappings
Guangrong Wu, Liping Yang · The Journal of Nonlinear Sciences and Applications · 2016
The purpose of this paper is to suggest and analyze the general viscosity iteration scheme for an infinite family of nonexpansive mappings \(\{T_i\}^\infty_{i=1}\). Additionally, it proves that this iterative scheme converges strongly to a common fixed point of \(\{T_i\}^\infty_{i=1}\) in the framework of reflexive and smooth convex Banach space, which solves some variational inequality. Results proved in this paper improve and generalize recent known results in the literature.