2021
DOI: 10.37193/cjm.2021.03.03
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Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds

Abstract: "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 c… Show more

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Cited by 3 publications
(1 citation statement)
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“…Remark 3.10. Hypothesis (c) extends to the case of interval-valued functions other similar ones that can be found in Theorem 3.2 given by Colao et al [9] and in Theorem 3.4 given by Al-Homidan et al [3].…”
Section: (B)supporting
confidence: 52%
“…Remark 3.10. Hypothesis (c) extends to the case of interval-valued functions other similar ones that can be found in Theorem 3.2 given by Colao et al [9] and in Theorem 3.4 given by Al-Homidan et al [3].…”
Section: (B)supporting
confidence: 52%