| Volume 15, Number 2, 2025, Pages - DOI：10.11948/JAAC-2024-0176 |
| A parallel Tseng"s splitting method for common solution of variational inclusions and fixed point problems on Hadamard manifolds |
| Hammed Anuoluwapo Abass,Olawale Kazeem Oyewole |
| Keywords:Tseng method, variational inclusion problem, fixed point problem, Hadamard manifold |
| Abstract: |
| In this manuscript, we propose an inertial forward-backward-forward splitting method for solving variational inclusion and fixed point problem of nonexpansive mappings in the framework of a Hadamard manifold. Using our iterative method together with a self-adaptive method which generates dynamic step-size converging to a positive constant, we establish that the sequence generated by our method converges to a solution of common variational inclusion and fixed point problems. Also, we illustrate some numerical examples to show the performance of our method. The result discuss in this article extends and complements many related results in the literature. |
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