On strong and Δ-convergence of modified S-iteration for uniformly continuous total asymptotically nonexpansive mappings in CAT(κ) spaces

Abstract

In this paper, we obtain strong and Δ-convergence theorems of modified S-iteration for total asymptotically nonexpansive mappings in CAT(κ) spaces with κ > 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.