On strong and Δ -convergence of modified S-iteration for uniformly continuous total asymptotically nonexpansive mappings in CAT(κ) spaces
Plern Saipara, Parin Chaipunya, Yeol Je Cho, Poom Kumam · The Journal of Nonlinear Sciences and Applications · 2015
In this paper, we obtain strong and \(\Delta\)-convergence theorems of modified S-iteration for total asymptotically nonexpansive mappings in \(CAT(\kappa)\) spaces with \(\kappa > 0\). Our results extend and improve the corresponding recent results announced by Panyanak [B. Panyanak, J. Inequal. Appl., 2014 (2014), 13 pages] and many authors.