The Krasnosel'skiĭ-Mann algorithm for a countable family of non-self Lipschitzian mappings

Pant, Rajendra; Shukla, Rahul

doi:10.12775/tmna.2020.021

TMNA

2020

DOI: 10.12775/tmna.2020.021

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The Krasnosel'skiĭ-Mann algorithm for a countable family of non-self Lipschitzian mappings

Rajendra Pant¹,

Rahul Shukla²

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Cited by 2 publications

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Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space

Patel

Shukla

2023

Topological Algebra and Its Applications

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The aim of this article is to present some Δ \Delta -convergence and strong convergence results for a countable family of non-self mappings. More precisely, we employ Mann-Dotson’s algorithm to approximate, common fixed points of a countable family of non-self L n {L}_{n} -Lipschitz mappings in hyperbolic metric spaces.

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Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space

Patel

Shukla

2023

Topological Algebra and Its Applications

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A Modified Krasnosel’skiǐ–Mann Iterative Algorithm for Approximating Fixed Points of Enriched Nonexpansive Mappings

Berinde

2022

Symmetry

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For approximating the fixed points of enriched nonexpansive mappings in Hilbert spaces, we consider a modified Krasnosel’skiǐ–Mann algorithm for which we prove a strong convergence theorem. We also empirically compare the rate of convergence of the modified Krasnosel’skiǐ–Mann algorithm and of the simple Krasnosel’skiǐ fixed point algorithm. Based on the numerical experiments reported in the paper we conclude that, for the class of enriched nonexpansive mappings, it is more convenient to work with the simple Krasnosel’skiǐ fixed point algorithm than with the modified Krasnosel’skiǐ–Mann algorithm.

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The Krasnosel'skiĭ-Mann algorithm for a countable family of non-self Lipschitzian mappings

Cited by 2 publications

References 22 publications

Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space

Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space

A Modified Krasnosel’skiǐ–Mann Iterative Algorithm for Approximating Fixed Points of Enriched Nonexpansive Mappings

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