In this paper, we study the existence of solutions of equilibrium problems in the setting of Hadamard manifolds under the pseudomonotonicity and geodesic upper sign continuity of the equilibrium bifunction and under different kinds of coercivity conditions. We also study the existence of solutions of the equilibrium problems under properly quasimonotonicity of the equilibrium bifunction. We propose a two-step proximal point algorithm for solving equilibrium problems in the setting of
Hadamard manifolds. The convergence of the proposed algorithm is studied under the strong pseudomonotonicity and Lipschitz-type condition. The results of this paper either extend or generalize several known results in the literature.
Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds
Al-Homidan, Suliman Ansari, Qamrul Hasan and Islam, Monirul
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carpathian_2021_37_3_393_406Additional Information
Author(s) | Ansari, Qamrul Hasan, Al-Homidan, Suliman, Islam, Monirul |
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DOI | https://doi.org/10.37193/CJM.2021.03.03 |