Anh, Pham Ngoc A logarithmic quadratic regularization method for pseudomonotone equilibrium problems. (English) Zbl 1200.65044 Acta Math. Vietnam. 34, No. 2, 183-200 (2009). 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. Reviewer: Bülent Karasözen (Ankara) Cited in 13 Documents MSC: 65K05 Numerical mathematical programming methods 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) Keywords:equilibrium problems; pseudomonotone operators, line search, regularization method; logarithmic quadratic method; proximal method; numerical examples; Bergman distance function; nonlinear complementarity problems PDFBibTeX XMLCite \textit{P. N. Anh}, Acta Math. Vietnam. 34, No. 2, 183--200 (2009; Zbl 1200.65044) Full Text: Link