An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications

An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications

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Several methods quest fryer have been put forward to solve equilibrium problems, in which the two-step extragradient method is very useful and significant.In this article, we propose a new extragradient-like method to evaluate the numerical solution of the pseudomonotone equilibrium in real Hilbert space.This method uses a non-monotonically stepsize technique based on local bifunction southwestern aztec rug values and Lipschitz-type constants.

Furthermore, we establish the weak convergence theorem for the suggested method and provide the applications of our results.Finally, several experimental results are reported to see the performance of the proposed method.