TY - JOUR AU - Fukhar-ud-din, Hafiz AU - Khan, Abdul Rahim AU - Hussain, Nawab PY - 2017 TI - Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces JO - Journal of Nonlinear Sciences and Applications SP - 771--779 VL - 10 IS - 2 AB - We introduce and study convergence of a one-step iterative algorithm for a finite family of total asymptotically nonexpansive mappings on a CAT(0) space. Our results are new in Hilbert spaces as well as CAT(0) spaces; in particular, an analogue of Rhoades weak convergence theorem [B. E. Rhoades, Bull. Austral. Math. Soc., 62 (2000), 307–310] is established both for \(\Delta\)-convergence and strong convergence in CAT(0) spaces. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.02.37 DO - 10.22436/jnsa.010.02.37 ID - Fukhar-ud-din2017 ER -