Viscosity approximation methods for W-mappings in Hilbert space

Abstract

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