Abstract
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.
Citation
Hiromichi Miyake. Wataru Takahashi. "STRONG CONVERGENCE THEOREMS FOR COMMUTATIVE NONEXPANSIVE SEMIGROUPS IN GENERAL BANACH SPACES." Taiwanese J. Math. 9 (1) 1 - 15, 2005. https://doi.org/10.11650/twjm/1500407742
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