Volume no :16, Issue no: 1-2, July and August 2012

Journal of Mathematical Sciences: Advances and Applications

STRONG CONVERGENCE THEOREMS OF TOTAL NONEXPANSIVE SEMI-GROUPS IN BANACH SPACES

Author's: F. H. ZHAO and L. YANG
Pages: [13] - [28]
Received Date: May 14, 2012
Submitted by:

Abstract

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].

Keywords

modified Halpern-Mann-type iteration, total nonexpansive semi-groups, nonexpansive semi-groups, generalized projection.