Two-step inertial method for solving split common null point problem with multiple output sets in Hilbert spaces

In this paper, an algorithm with two-step inertial extrapolation and self-adaptive step sizes is proposed to solve the split common null point problem with multiple output sets in Hilbert spaces. Weak convergence analysis are obtained under some easy to verify conditions on the iterative parameters...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 9; pp. 20201 - 20222
Main Authors Okeke, Chibueze C., Adamu, Abubakar, Promkam, Ratthaprom, Sunthrayuth, Pongsakorn
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
hilbert space
metric projection
self-adaptive step size
split common null point problem
two-step inertial
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ISSN2473-6988
2473-6988
DOI10.3934/math.20231030

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Summary:In this paper, an algorithm with two-step inertial extrapolation and self-adaptive step sizes is proposed to solve the split common null point problem with multiple output sets in Hilbert spaces. Weak convergence analysis are obtained under some easy to verify conditions on the iterative parameters in Hilbert spaces. Preliminary numerical tests are performed to support the theoretical analysis of our proposed algorithm.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231030