Strong Strong convergence algorithms for equilibrium problems without monotonicity
In this paper, we introduce two new line search algorithms for solving a non-monotone equilibrium problem in a real Hilbert space. Each method can be considered as a combination of the extragradient method with line search and shrinking projection methods. Then we show that the iterative sequence generated by each method converges strongly to a solution of the considered problem. A numerical example is also provided.
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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications
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