Iterative algorithm and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces (Q1925471)

Summary: The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove a \(\Delta\)-convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically nonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature.