We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space. Using the result we consider strong convergence theorems for variational inequalities and equilibrium problems in a real Hilbert space and strong convergence theorems for maximal monotone operators in a real uniformly smooth and uniformly convex Banach space.
Somyot Plubtieng. Wanna Sriprad. "Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications." Abstr. Appl. Anal. 2010 1 - 18, 2010. https://doi.org/10.1155/2010/301305