Some variants of the hybrid extragradient algorithm in Hilbert spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

Other (Strategic Research Themes)

Publication Details

Author list: Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Thidaporn Seangwattana & Zaffar Iqbal

Publisher: SpringerOpen

Publication year: 2024

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

Volume number: 2024

Start page: 3

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-023-03052-7

Languages: English-United States (EN-US)

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Abstract

This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated with the finite families of �-demicontractive mappings. We also incorporate appropriate numerical results concerning the viability of the proposed variants with respect to various real-world applications.

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