Viscosity approximation methods for W-mappings in Hilbert space

Author(s):

Hr Sahebi , S. Ebrahimi

Abstract:
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.
Keywords:

Nonexpansive mapping , equilibrium problems , strongly positive linear bounded operator , fi xed point , Hilbert space , W-mapping

Language:
English
Published:
Theory of Approximation and Applications, Volume:11 Issue: 2, Summer and Autumn 2017
Pages:
15 to 35
https://www.magiran.com/p1704897