%0 Journal Article
%T Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems
%A Kangtunyakarn Atid
%J Fixed Point Theory and Applications
%D 2011
%I Springer
%X In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert space. In the last section, we apply our main result to prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of strictly pseudo-contractive mappings and the set of finite family of variational inclusion problems.
%K nonexpansive mapping
%K strict pseudo contraction
%K strongly positive operator
%K variational inclusion problem
%K fixed point
%U http://www.fixedpointtheoryandapplications.com/content/2011/1/38