A Review for “Local convergence of solvers with eight order having weak conditions”

Submitted to Symmetry (MDPI)

by Ramandeep Behl and Ioannis K. Argyros

Last updated December 9, 2019

The manuscript discusses the applicability of an eight-order local convergence solver for solving Banach space-valued equations. The following provides some remark to the manuscript. 1. The abstract needs to be improved. It is not clear to the reader, particularly the final sentence. 2. A is mentioned but not introduced. Similar remark with the abbreviations, not introduced early enough so that it is enough to confuse readers. 3. Doesn’t it Banach space endowed with a norm? But the definition of the norm was not introduced in the paper. 4. No condition on w1 ? 5. What is θ? 6. What is the meaning of ` B? 7. The proposition in Theorem 1 is a way too long, what do you actually want to state? Is it existence and uniqueness? It is confusing to the readers. 8. Remove the double square sign. 9. What are r2 and rq ? The radius r1 is mentioned but not r2 and rq . It seems that from all of the examples, r2 produces the smallest radius and hence it is the best and chosen. 10. What is w-continuity condition? It suddenly appears in the Conclusion. 11. The reference list is not uniform. Please fix this. 12. Many typos need to be corrected. 13. Some sentences need to be reworded. 14. Please improve the English before re-submission.