MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR A FAMILY OF PSEUDOMONOTONE EQUILIBRIUM PROBLEMS IN REAL A HILBERT SPACE

초록

In this paper, we proposed a modified subgradient extragradient method for dealing with pseudomonotone equilibrium problems involving Lipschitz-type condition on a cost bifunction in a real Hilbert space. The weak convergence theorem for the method is precisely provided based on the standard assumptions on the cost bifunction. For a numerical experiment, we consider the well-known Nash-Cournot oligopolistic equilibrium models and other examples to support our established convergence results.

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