ABSTRACT
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.
Acknowledgements
All authors contributed equally and significantly in writing this paper. The authors would to thanks the referees and Professor Jesus Vigo Aguiar for reading this paper carefully, providing valuable suggestions and comments, and pointing out a minor errors in the original version of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Wiyada Kumam http://orcid.org/0000-0001-8773-4821
Nuttapol Pakkaranang http://orcid.org/0000-0002-0224-4661
Poom Kumam http://orcid.org/0000-0002-5463-4581