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DOI: 10.23952/jnfa.2026.15
Received January 9, 2025; Accepted April 9, 2026; Published June 8, 2026
Abstract. This paper proposes a novel iterative method for addressing the split general system of variational inequalities and related fixed point problems within the framework of real Hilbert spaces. The algorithm is constructed by combining Halpern-type iterations with nonexpansive mappings, and its design guarantees strong convergence under appropriate conditions. The analytical results demonstrate that the proposed method not only unifies but also generalizes several classical schemes, including the split feasibility problem and the split variational inequality problem. To substantiate the theoretical findings, numerical experiments are provided, illustrating the robustness and efficiency of the algorithm in solving complex optimization and equilibrium problems.
How to Cite this Article:
P. Worapun, A. Kangtunyakarn, Iterative approaches for solving split general variational inequalities systems with applications, J. Nonlinear Funct. Anal. 2026 (2026) 15.