A strong convergence theorem for an inertial algorithm for a countable family of generalized nonexpansive maps
C.E. Chidume, Monday Ogudu Nnakwe · Fixed Point Theory · 2020
Let E be a uniformly smooth and strictly convex real Banach space with dual space, E * . In this paper, we present a Krasnoselkii-type inertial algorithm and prove a strong convergence theorem for approximating a common fixed point for a countable family of generalized nonexpansive maps. Furthermore, we apply our theorem and prove a strong convergence theorem for approximating a common fixed point for a countable family of generalized-J-nonexpansive maps. Our theorem is an improvement of the results of Klin-earn et al. (