Author's: F. H. ZHAO and L. YANG
Pages: [13] - [28]
Received Date: May 14, 2012
Submitted by:
The purpose of this paper is to introduce and study total nonexpansive semi-groups and to modify the
Halpern-Mann-type iteration algorithm for the new semi-groups to have
the strong convergence under a limit condition only in the framework
of Banach spaces. The results presented in the paper improve and
extend the corresponding recent results announced by many authors [1,
6, 25].
modified Halpern-Mann-type iteration, total nonexpansive semi-groups,
nonexpansive semi-groups, generalized
projection.