Journal
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
Volume 51, Issue 2, Pages 709-728Publisher
SPRINGER
DOI: 10.1007/s10589-010-9360-4
Keywords
Gap function; Double projection-type method; Monotone equilibrium problem; Proximal point method; Global convergence; Complexity
Funding
- NAFOSTED, Vietnam
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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.
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