STRONG CONVERGENCE THEOREMS FOR COMMUTATIVE NONEXPANSIVE SEMIGROUPS IN GENERAL BANACH SPACES
Hiromichi Miyake, Wataru Takahashi · Taiwanese Journal of Mathematics · 2005
In this paper, we introduce an iteration scheme of Mann's type for general commutative nonexpansive semigroups and then obtain a strong convergence theorem in compact sets of general Banach spaces by using the theory of means of abstract semigroups. Using this result, we prove some strong con- vergence theorems in cases of discrete and one-parameter semigroups.