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一类渐近非扩张映射不动点的粘滞逼近方法

A Viscous Approximation Method for Fixed Point of a Class of Asymptotically Nonexpansive Mappings
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摘要 研究了一类渐近非扩张映射不动点问题的迭代算法.通过利用粘滞逼近方法及渐进非扩张映射,在具有一致凸的Banach空间中获得了新的迭代序列,并且证明了该迭代序列的强收敛性. In this paper,we study the iterative method for approximating the fixed point of asymptotically nonexpansive mappings. By using the viscous approximation method,the strong convergence of the iterative sequence is obtained in a real uniformly convex Banach space.
作者 魏超
机构地区 南京财经大学应用数学学院
出处 《淮阴师范学院学报（自然科学版）》 CAS 2016年第2期99-103,119,共6页 Journal of Huaiyin Teachers College;Natural Science Edition
关键词 渐近非扩张映射 压缩映射 不动点 粘滞逼近 强收敛 asymptotically nonexpansive mappings contraction mapping fixed point viscous approximation method strong convergence
分类号 O177.91 [理学—基础数学]
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参考文献14

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淮阴师范学院学报（自然科学版）
2016年 第2期

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