DOI: 10.24193/fpt-ro.2026.2.13

Authors: Y. Shehu, O.S. Iyiola, X. Qin, J.C. Yao

Abstract: In this paper, a new inertial iteration to find a common fixed point of a countable family of nonexpansive mappings is presented. Some weak convergence results of common fixed points are obtain in Hilbert spaces. Some applications to monotone inclusion problems are considered. Finally, some numerical experiments are presented to support our new iteration.

Key Words and Phrases: Douglas-Rachford splitting, inertial method, monotone inclusion, weak convergence

2020 Mathematics Subject Classification: 47H09, 47H10, 47J20, 47J25.

Published on-line: June 1st, 2026.

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