Some Theorems of Fixed Point Approximations By Iteration Processes

Z. H. Maibed; S. S. Hussein

doi:10.1088/1742-6596/1818/1/012153

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Publication Date

Mon Mar 01 2021

Journal Name

Journal Of Physics: Conference Series

Volume

1818

DOI

10.1088/1742-6596/1818/1/012153

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Some Theorems of Fixed Point Approximations By Iteration Processes

Z. H. Maibed

S. S. Hussein

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AbstractThe purpose of this paper, is to study different iterations algorithms types three_steps called, new iteration, <italic>M</italic> ∗ −iteration, <italic>k</italic> −iteration, and Noor-iteration, for approximation of fixed points. We show that the new iteration process is faster than the existing leading iteration processes like <italic>M</italic> ∗ −iteration, <italic>k</italic> −iteration, and Noor-iteration process, for like contraction mappings. We support our analytic proof with a numerical example.

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