Convergence analysis of modified Picard-S hybrid iterative algorithms for total asymptotically nonexpansive mappings in Hadamard spaces
Wiyada Kumam, Nuttapol Pakkaranang, Poom Kumam, Prasit Cholamjiak · International Journal of Computer Mathematics · 2018
In this paper, we introduce new type iterative scheme called a ‘modified Picard-S hybrid’ iterative algorithm to establish Δ-convergence and strong convergence theorems under suitable conditions for total asymptotically nonexpansive mappings in CAT(0) spaces. Our results in the paper improve and extend many results appeared in the literature. Moreover, we also illustrate numerical examples for the proposed iteration process to compare speed of convergence among the existing iterative algorithms.