Alternated dual inertial concurring algorithms for the generalized variational inclusion problems with applications

Abstract

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.