Mathematical analysis demonstrates convergence of alternating dual inertial concurring algorithms in Hilbert spaces, highlighting practical efficiency for generalized variational inclusions.
In this paper, we investigate the generalized variational inclusion problem in Hilbert spaces. To solve this problem, we propose a novel alternating dual inertial concurring algorithm and establish a rigorous convergence theorem for the proposed method. We further demonstrate the applicability of our results by addressing several related problems. Finally, we present numerical examples that illustrate the efficiency, accuracy, and practical implementability of the proposed algorithm.
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Agwu et al. (2026) studied this question.
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