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• W4211056187 abstract "We consider a second-order dynamical system for solving equilibrium problems in Hilbert spaces. Under mild conditions, we prove existence and uniqueness of strong global solution of the proposed dynamical system. We establish the exponential convergence of trajectories under strong pseudo-monotonicity and Lipschitz-type conditions. We then investigate a discrete version of the second-order dynamical system, which leads to a fixed point-type algorithm with inertial effect and relaxation. The linear convergence of this algorithm is established under suitable conditions on parameters. Finally, some numerical experiments are reported confirming the theoretical results." @default.
• W4211056187 created "2022-02-13" @default.
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• W4211056187 date "2022-02-10" @default.
• W4211056187 modified "2023-10-14" @default.
• W4211056187 title "A second-order dynamical system for equilibrium problems" @default.
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• W4211056187 doi "https://doi.org/10.1007/s11075-022-01264-4" @default.
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