Copyright © 2010 Yeol Je Cho and Narin Petrot. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We use the Wiener-Hopf equations and the Yosida approximation notions
to prove the existence theorem of a system of nonlinear mixed implicit equilibrium problems (SMIE)
in Hilbert spaces. The algorithm for finding a solution of the problem (SMIE) is suggested; the
convergence criteria and stability of the iterative algorithm are discussed. The results presented in
this paper are more general and are viewed as an extension, refinement, and improvement of the previously known results in the literature.