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Iterative algorithm for mappings satisfying \(( B_{\gamma,\mu})\) condition - MaRDI portal

Iterative algorithm for mappings satisfying \(( B_{\gamma,\mu})\) condition (Q2188085)

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Iterative algorithm for mappings satisfying \(( B_{\gamma,\mu})\) condition
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    Iterative algorithm for mappings satisfying \(( B_{\gamma,\mu})\) condition (English)
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    3 June 2020
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    Summary: In this article, we introduce a novel iterative algorithm to approximate fixed point of mappings with \(( B_{\gamma,\mu})\) condition. We establish some strong and weak convergence results in a uniformly convex Banach space. Using a numerical example, we compare the speed of the proposed algorithm with some leading iterative algorithms.
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    iterative algorithm
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    \(( B_{\gamma,\mu})\) condition
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    strong convergence
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    weak convergence
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    uniformly convex Banach space
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