Arab Journal of Mathematical Sciences (Jul 2018)
Approximating fixed points of nearly asymptotically nonexpansive mappings in CAT(k) spaces
Abstract
In this paper we approximate common fixed points of nearly asymptotically nonexpansive mappings under modified S P-iteration process in the setting of CAT(k) spaces and establish strong and Δ-convergence theorems. Our results generalize and improve the corresponding known results of the existing literature. Keywords: Δ-convergence, Modified SP-iteration process, Nearly asymptotically nonexpansive mapping, Common fixed point, CAT(k) space, Mathematics Subject Classification: 47H09, 47H10