Viscosity approximation methods for W-mappings in Hilbert space

Document Type: Research Articles


Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.


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