This analysis demonstrates convergence of Mann and Ishikawa iterations on closed convex subsets, suggesting new insights for continuous functions.
In this paper, we prove convergence of Mann and Ishikawa iterations to the fixed points of continuous functions defined on a linearly ordered closed convex subset of Euclidean space ℝ 𝑚. Numerical examples are given to illustrate the feasibility of the results presented. Our results extend corresponding results in literature.
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Agbebaku et al. (2025) studied this question.
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