A modified contraction-type method for solving monotone inclusion problem in Hilbert spaces

Linan Wang, Gang Cai, Sani Salisu and Yekini Shehu

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 240, issue C, 749-768

Abstract: We suggest a contraction-type method with a modified self-adaptive step size to solve the monotone inclusion problem in real Hilbert spaces. The sequences generated by our algorithm are convergent strongly under some suitable conditions. We also conduct some numerical experiments to show the effectiveness of our proposed algorithms.

Keywords: Contraction-type method; Monotone inclusion problem; Self-adaptive step size; Strong convergence (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:240:y:2026:i:c:p:749-768

DOI: 10.1016/j.matcom.2025.07.041

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