Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

Innovative Materials, Manufacturing and Construction (Strategic Research Themes)

Publication Details

Author list: Yasir Arfat, Olaniyi S. Iyiola, Muhammad Aqeel Ahmad Khan, Poom Kumam, Wiyada Kumam & Kanokwan Sitthithakerngkiet

Publisher: SpringerOpen

Publication year: 2022

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2022

Issue number: 1

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02803-2

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Abstract

In this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces. We show that the approximants can be easily adapted to various extensively analyzed theoretical problems in this framework. Finally, we furnish a numerical experiment to analyze the viability of the approximants in comparison with the results presented in (Reich and Tuyen in Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 114:180, 2020).

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