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Research Article | Open Access

A general hybrid relaxed CQ algorithm for solving the fixed-point problem and split-feasibility problem

Yuanheng Wang( ), Bin Huang, Bingnan Jiang, Tiantian Xu, Ke Wang
School of Mathematic Science, Zhejiang Normal University, Jinhua 321004, China
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Abstract

In this paper, we introduce a new hybrid relaxed iterative algorithm with two half-spaces to solve the fixed-point problem and split-feasibility problem involving demicontractive mappings. The strong convergence of the iterative sequence produced by our algorithm is proved under certain weak conditions. We give several numerical experiments to demonstrate the efficiency of the proposed iterative method in comparison with previous algorithms.

Keywords

inertial iterative methoddemicontractive mappingfixed pointhybrid CQ methodsplit-feasibility problem
CLC number: 47H04, 47H09, 47H10, 65K10

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 24310-24330
DOI: 10.3934/math.20231239

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Cite this article:
Wang Y, Huang B, Jiang B, et al. A general hybrid relaxed CQ algorithm for solving the fixed-point problem and split-feasibility problem. AIMS Mathematics, 2023, 8(10): 24310-24330. https://doi.org/10.3934/math.20231239

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Received: 02 May 2023
Revised: 02 July 2023
Accepted: 17 July 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)