HR Sahebi - Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.
- - - Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.

We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given.