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L.H.Yen, N.T.T.Huyen, L.D. Muu, A subgradient algorithm for a class of nonlinear split feasibility problems: application to jointly constrained Nash equilibrium models, Journal of Global Optimization, 73(4), pp. 849-868, 2019

Ngày đăng: 25/03/2019

In this paper we propose an algorithm for solving the split feasibility problem x∈C, Ax∈Q with C being the solution set of an equilibrium problem and A can be nonlinear. The proposed algorithm is a combination between the projection method for the equilibrium problem and the gradient method for the inclusion Ax∈Q. The convergence of the algorithm is investigated. A numerical example for a jointly constrained Nash equilibrium model in electricity production market is provided to demonstrate the behavior of the algorithm.

L.H.Yen, N.T.T.Huyen, L.D. Muu, A subgradient algorithm for a class of nonlinear split feasibility problems: application to jointly constrained Nash equilibrium models, Journal of Global Optimization, 73(4), pp. 849-868, 2019

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