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A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependency

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Abstract

In this paper, we propose a new iterative algorithm and analyze it in detail inasmuch as convergence, stability, and data dependency for the class of almost contraction mappings. We also consider another iterative algorithm called \(F^{*}\) iterative algorithm proposed by Ali et al. (Comp. Appl. Math. 39, 267 (2020)) and derive some new algorithms from this with the aim of giving an affirmative answer to an open question raised by the same authors. Our results considerably improve the corresponding results in Ali et al. (Comp. Appl. Math. 39, 267 (2020)). We submit some non-trivial numerical examples to illustrate the robustness, feasibility, and effectiveness of our findings.

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Authors and Affiliations

  1. Department of Mathematics, Trakya University, Edirne, 22030, Turkey

    Emirhan Hacıoğlu

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  1. Emirhan Hacıoğlu
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Correspondence to Emirhan Hacıoğlu.

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Communicated by Baisheng Yan.

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Hacıoğlu, E. A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependency. Comp. Appl. Math. 40, 282 (2021). https://doi.org/10.1007/s40314-021-01671-8

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  • DOI: https://doi.org/10.1007/s40314-021-01671-8

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