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Research Article | Open Access

Self-adaptive algorithms for the split problem of the quasi-pseudocontractive operators in Hilbert spaces

Wenlong Sun1, Gang Lu2, Yuanfeng Jin3( ), Choonkil Park4
Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110870, China
Division of Foundational Teaching, Guangzhou College of Technology and Business, Guangzhou 510850, China
Department of Mathematics, Yanbian University, Yanji 133001, China
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
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Abstract

Self-adaptive algorithms are presented for solving the split common fixed point problem of quasi-pseudocontractive operators in Hilbert spaces. Weak and strong convergence theorems are given under some mild assumptions.

Keywords

split common fixed pointquasi-pseudocontractive operatorself-adaptive algorithm
CLC number: 47H06, 47H09, 47J25, 49J05

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8715-8732
DOI: 10.3934/math.2022487

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Cite this article:
Sun W, Lu G, Jin Y, et al. Self-adaptive algorithms for the split problem of the quasi-pseudocontractive operators in Hilbert spaces. AIMS Mathematics, 2022, 7(5): 8715-8732. https://doi.org/10.3934/math.2022487

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Received: 27 September 2021
Revised: 20 December 2021
Accepted: 04 January 2022
Published: 15 May 2022
©2022 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)