Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces
Rabian Wangkeeree, Uraiwan Boonkong, Pakkapon Preechasilp · Fixed Point Theory and Applications · 2015
Abstract Let C be a nonempty, closed, and convex subset of a complete CAT(0) space X and let T be an asymptotically nonexpansive mapping of C into itself such that the set of common fixed points of T is nonempty. We introduce the iterative schemes for finding the common fixed point of an asymptotically nonexpansive mapping which is the unique solution of some variational inequalities. The strong convergence theorem of the proposed iterative schemes is established. Our result improves and generalizes several other results in the literature.