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A logarithmic quadratic regularization method for pseudomonotone equilibrium problems. (English) Zbl 1200.65044

A linearly convergent logarithmic quadratic regularization method is developed using the Bergman distance function for solving equilibrium problems with pseudomonotone operators satisfying the Lipschitz condition. This technique is then combined with the line search and the Bergman distance function to avoid Lipschitz condition. Computational results are reported for nonlinear complementarity test problems.

MSC:

65K05 Numerical mathematical programming methods
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
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