Title of article :
Viscosity Approximation Methods for W-mappings in Hilbert space
Author/Authors :
Sahebi, H.R. Department of Mathematics - Ashtian Branch, Islamic Azad University , Ebrahimi, S. Department of Mathematics - Ashtian Branch, Islamic Azad University
Abstract :
We suggest a explicit viscosity iterative algorithm for finding a common element of the set of common fixed 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.
Keywords :
Nonexpansive mapping , equilibrium problems , strongly positive linear bounded operator , fixed point , Hilbert space , W-mapping
Journal title :
نظريه تقريب و كاربردهاي آن
