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

Wenlong Sun; Gang Lu; Yuanfeng Jin; Choonkil Park; Wenlong Sun; Gang Lu; Yuanfeng Jin; Choonkil Park

doi:10.3934/math.2022487

AIMS Mathematics

2022, Volume 7, Issue 5: 8715-8732. doi: 10.3934/math.2022487

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Research article

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

1.
Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110870, China
2.
Division of Foundational Teaching, Guangzhou College of Technology and Business, Guangzhou 510850, China
3.
Department of Mathematics, Yanbian University, Yanji 133001, China
4.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 27 September 2021 Revised: 20 December 2021 Accepted: 04 January 2022 Published: 03 March 2022
MSC : 47H06, 47H09, 47J25, 49J05

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.
- split common fixed point,
- quasi-pseudocontractive operator,
- self-adaptive algorithm
Citation: Wenlong Sun, Gang Lu, Yuanfeng Jin, Choonkil Park. Self-adaptive algorithms for the split problem of the quasi-pseudocontractive operators in Hilbert spaces[J]. AIMS Mathematics, 2022, 7(5): 8715-8732. doi: 10.3934/math.2022487

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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.

References

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