Abstract

In this paper, we introduce an iterative sequence for finding solution of a system of mixed equilibrium problems and the set of fixed points of a nonexpansive mapping in Hilbert spaces. Then, the weak and strong convergence theorems are proved under some parameters control- ling conditions. Moreover, we apply our result to fixed point problems, system of equilibrium problems, general system of variational inequal- ities, mixed equilibrium problem, equilibrium problem and variational inequality.

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