Volume 69 | Issue 2 | Year 2023 | Article Id. IJMTT-V69I2P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I2P516

Received | Revised | Accepted | Published |
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09 Jan 2023 | 11 Feb 2023 | 21 Feb 2023 | 28 Feb 2023 |

In this paper, results on stability and data dependency for a new iteration scheme under contractive- like mappings are discussed. In the framework of uniformly convex Banach spaces, we also provide weak and strong convergence results for mappings satisfying the condition βγ,μ. To validate our proofs, numerical example are also provided which are supported by graphs and tables. Finally, we exhibit the applicability of our three-step iteration process in delay differential equations.

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Manoj Kumar, Hemant Kumar Pathak, "On a solution of a Delay Differential Equation, via a New Iteration Scheme," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 69, no. 2, pp. 124-146, 2023. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V69I2P516