%0 Journal Article
%T A new modified block iterative algorithm for uniformly quasi- -asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems
%A Saewan Siwaporn
%A Kumam Poom
%J Fixed Point Theory and Applications
%D 2011
%I Springer
%X In this paper, we introduce a new modified block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi- -asymptotically nonexpansive mappings, the set of the variational inequality for an ¦Á-inverse-strongly monotone operator, and the set of solutions of a system of generalized mixed equilibrium problems. We obtain a strong convergence theorem for the sequences generated by this process in a 2-uniformly convex and uniformly smooth Banach space. Our results extend and improve ones from several earlier works. 2000 MSC: 47H05; 47H09; 47H10.
%K modified block iterative algorithm
%K inverse-strongly monotone operator
%K variational inequality
%K a system of generalized mixed equilibrium problem
%K uniformly quasi- -asymptotically nonexpansive mapping
%U http://www.fixedpointtheoryandapplications.com/content/2011/1/35