%0 Journal Article
%T Common Fixed Point Theorems for Totally Quasi-G-Asymptotically Nonexpansive Semigroups with the Generalized f-Projection
%A Chunjie Wang
%A Yuanheng Wang
%J Applied Mathematics
%P 25-34
%@ 2152-7393
%D 2014
%I Scientific Research Publishing
%R 10.4236/am.2014.51004
%X <p class=\"MsoNormal\">
	In this paper, we
introduce some new classes of the totally quasi-G-asymptotically nonexpansive
mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then,
with the generalized f-projection operator, we prove some strong convergence
theorems of a new modified Halpern type hybrid iterative algorithm for the
totally quasi-G-asymptotically nonexpansive semigroups in Banach space. The
results presented in this paper extend and improve some corresponding ones by
many others.
</p>
%K Totally Quasi-G-Asymptotically Nonexpansive Semigroup
%K Generalized f-Projection Operator
%K Modified Halpern Type Hybrid Iterative Algorithm
%K Strong Convergence Theorem
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=41609