Viscosity approximation methods for W-mappings in Hilbert space
محورهای موضوعی : Applied Mathematics
HR Sahebi
1
(Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.)
S. Ebrahimi
2
(Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.)
کلید واژه: fixed point, Nonexpansive mapping, equilibrium problems, Hilbert space, W-mapping, strongly positive linear bounded operator,
چکیده مقاله :
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.
