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Comments on “A three-term derivative-free projection method for nonlinear monotone system of equations”

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Abstract

In this note, we show that the proof of Remark 3 of Lemma 3.2 in “A three-term derivative-free projection method for nonlinear monotone system of equations” (Calcolo 53:427–450, 2016) is not correct, which implies that the conclusion of Remark 3 is not appropriate to prove Theorem 3.1. A new proof of Remark 3 is established, which guarantees the corresponding global convergence Theorem 3.1. Throughout, we use the same notations and equation numbers as in the above reference.

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References

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Authors and Affiliations

  1. School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, China

    J. K. Liu

  2. College of Mathematics and Statistics, Chongqing University, Chongqing, 404100, China

    S. J. Li

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  1. J. K. Liu
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  2. S. J. Li
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Correspondence to J. K. Liu.

Additional information

This research was partially supported by Scientific and Technological Research Program of Chongqing Municipal Education Commission (Grant Number: KJ1501003), and Chongqing Three Gorges University (Grant Number: 14ZD-14).

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Liu, J.K., Li, S.J. Comments on “A three-term derivative-free projection method for nonlinear monotone system of equations”. Calcolo 54, 1213–1215 (2017). https://doi.org/10.1007/s10092-017-0224-5

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  • DOI: https://doi.org/10.1007/s10092-017-0224-5

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