On the Strong Convergence Theorems for Nonexpansive Semi-Groups in Banach Spaces

ZHANG Shi-sheng; YANG Li; LIU Jing-ai

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(10): 1146-1156

ZHANG Shi-sheng, YANG Li, LIU Jing-ai. On the Strong Convergence Theorems for Nonexpansive Semi-Groups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1146-1156.

Citation:

ZHANG Shi-sheng, YANG Li, LIU Jing-ai. On the Strong Convergence Theorems for Nonexpansive Semi-Groups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1146-1156.

Citation:

ZHANG Shi-sheng, YANG Li, LIU Jing-ai. On the Strong Convergence Theorems for Nonexpansive Semi-Groups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1146-1156.

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On the Strong Convergence Theorems for Nonexpansive Semi-Groups in Banach Spaces

1.
Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;

Received Date: 2006-12-11
Rev Recd Date: 2007-08-08
Publish Date: 2007-10-15

Abstract

Abstract

Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established.The results not only extend and improve the corresponding results of Shioji-Takahashi,Suzuki,Xu and Aleyner-Reich,but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.
- nonexpansive semigroup,
- demi-closed principle,
- common fixed point,
- uniformly smooth Banach space,
- weakly continuous normalized duality mapping

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References(15)

References

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