ABSTRACT
In this paper, we establish strong and Δ-convergence theorems of the modified hybrid-CR three steps iteration with perturbations for total asymptotically non-expansive mapping in spaces. Our results improve and extend the corresponding results from the current literature. We also provide three examples to illustrate the convergence behaviour of the proposed algorithm and numerically compare the convergence of the proposed iteration scheme with the existing schemes.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Kenyi Calderón http://orcid.org/0000-0001-5361-3351
J. Martínez-Moreno http://orcid.org/0000-0002-3340-2781
E. M. Rojas http://orcid.org/0000-0002-8593-0463