Convergence of iterative sequences for fixed points of an infinite family of nonexpansive mappings based on a hybrid steepest descent methods

Nawitcha Onjai-uea, Chaichana Jaiboon, Poom Kumam, Usa Humphries
2012 Journal of Inequalities and Applications  
The propose of this article is to consider the strong convergence of an iterative sequences for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequalities for inverse strongly monotone mappings, and the set of solutions of system of equilibrium problems in Hilbert spaces by using a hybrid steepest descent methods. Our results improve and generalize many known corresponding results.
doi:10.1186/1029-242x-2012-101 fatcat:uyvjvzkjljey3fvgh4ipoj3mqq