Approximation of Common Fixed Points of a Countable Family of Relatively Nonexpansive Mappings
Daruni Boonchari, Satit Saejung · Fixed Point Theory and Applications · 2009
Abstract We introduce two general iterative schemes for finding a common fixed point of a countable family of relatively nonexpansive mappings in a Banach space. Under suitable setting, we not only obtain several convergence theorems announced by many authors but also prove them under weaker assumptions. Applications to the problem of finding a common element of the fixed point set of a relatively nonexpansive mapping and the solution set of an equilibrium problem are also discussed.