Iterative methods for solving monotone equilibrium problems via dual gap functions

• DOI: 10.1007/s10589-010-9360-4
• Publication Date: 2010-10-14T07:00:04Z
• Authors: Tran Dinh Quoc; Le Dung Muu
• Keywords: Projection method

This paper proposes an iterative method for solving strongly monotone equilibrium problems by using gap functions combined with double projection-type mappings. Global convergence of the proposed algorithm is proved and its complexity is estimated. This algorithm is then coupled with the proximal point method to generate a new algorithm for solving monotone equilibrium problems. A class of linear equilibrium problems is investigated and numerical examples are implemented to verify our algorithms.