| Citation: |
Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole. A PARALLEL TSENG’S SPLITTING METHOD FOR COMMON SOLUTION OF VARIATIONAL INCLUSIONS AND FIXED POINT PROBLEMS ON HADAMARD MANIFOLDS[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 839-861. doi: 10.11948/20240176
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A PARALLEL TSENG’S SPLITTING METHOD FOR COMMON SOLUTION OF VARIATIONAL INCLUSIONS AND FIXED POINT PROBLEMS ON HADAMARD MANIFOLDS
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Abstract
In this manuscript, we propose an inertial forward-backward-forward splitting method for common solution of variational inclusions and fixed point problems 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 common solution of variational inclusions and fixed point problems. Also, we illustrate a numerical example 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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References
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Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole. A PARALLEL TSENG’S SPLITTING METHOD FOR COMMON SOLUTION OF VARIATIONAL INCLUSIONS AND FIXED POINT PROBLEMS ON HADAMARD MANIFOLDS[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 839-861. doi: 10.11948/20240176
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Example 4. Top Left: Case 1, Top Right: Case 2, Bottom right: Case 3, Bottom left: Case 4