Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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A LOGARITHMIC QUADRATIC REGULARIZATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

PHAM NGOC ANH

pp. 183-200

Abstract

We use the logarithmic quadratic function to develop two iterative algorithms for solving equilibrium problems. We first use the Bregman distance function to solve a pseudomonotone equilibrium problem satisfying a certain Lipschitz condition. Next, to avoid the Lipschitz condition we combine this technique with line search technique to obtain a convergent algorithm for pseudomonotone equilibrium problems.