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In this paper, we introduce some new hybrid algorithms for finding a solutionof a system of equilibrium problems. In these algorithms, by constructingspecially cutting-halfspaces, we avoid using the extra-steps as in theextragradient method and the Armijo linesearch method which are inherentlycostly when the feasible set has a complex structure. The strong convergence ofthe algorithms is established.

Hybrid algorithms without the extra-steps for equilibrium problems