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DOI: 10.23952/jnfa.2025.22
Received February 13, 2025; Accepted June 21, 2025; Published July 28, 2025
Abstract. In this paper, we present a novel splitting algorithm to solve a split variational inclusion problem by using inertial and correction terms, alongside a self-adaptive stepsize technique. The addition of inertial and correction terms significantly accelerates convergence while ensuring weak convergence under some conditions. Numerical experiments demonstrate that our method outperforms existing algorithms in terms of performance and efficiency. Furthermore, we apply our algorithm to solve split feasibility problems and give applications to image recovery and data classification.
How to Cite this Article:
S. Kesornprom, S. Suantai, P, Cholamjiak, A splitting algorithm with inertial and correction terms for solving split variational inclusion problems and its applications, J. Nonlinear Funct. Anal. 2025 (2025) 22.