Banach空间中非扩张映象的黏性逼近方法

张石生;

数学学报 ›› 2007, Vol. 50 ›› Issue (3) : 485-492.

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数学学报 ›› 2007, Vol. 50 ›› Issue (3) : 485-492. DOI: 10.12386/A2007sxxb0057
论文

Banach空间中非扩张映象的黏性逼近方法

    张石生;
作者信息 +

Viscosity Approximation Methods for Nonexpansive Mappings in Banach Spaces

    Shi Sheng ZHANG
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摘要

借助Banach空间中非扩张映象的黏性逼近方法,得出了非扩张映象迭代序列收敛于其不动点的充分必要条件.本文结果推广和改进了一些人的最新结果.

Abstract

By using viscosity approximation methods for nonexpansive mappings in Banach spaces,some sufficient and necessary conditions for the iterative sequence to converge to a fixed point are obtained.The results presented in the is paper extend and improve some recent results.

关键词

非扩张映象 / 一致光滑Banach空间 / 不动点

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张石生;. Banach空间中非扩张映象的黏性逼近方法. 数学学报, 2007, 50(3): 485-492 https://doi.org/10.12386/A2007sxxb0057
Shi Sheng ZHANG. Viscosity Approximation Methods for Nonexpansive Mappings in Banach Spaces. Acta Mathematica Sinica, Chinese Series, 2007, 50(3): 485-492 https://doi.org/10.12386/A2007sxxb0057
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