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非扩张映像隐式迭代序列的强收敛性
  • 期刊名称：沈阳师范大学学报(自然科学版)
  • 时间：0
  • 页码：-
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]泰州师范高等专科学校数理系,江苏泰州225300, [2]扬州大学数学科学学院,江苏扬州225002
  • 相关基金：国家自然科学基金资助项目（10571150）
  • 相关项目：Banach空间上非线性算子半群与非线性微分包含及其应用
作者： 张学茂|董琪翔|李刚|
关键词： 一致Gateaux可微, 严格凸, 非扩张映像, 隐式迭代序列, uniformly Gateaux differentiable norm, strictly convex, nonexpansive mapping, implicit iteration process
中文摘要：

在具有一致Gateaux可微范数的自反严格凸Banach空间中,利用半闭原理等基本理论,证明了非扩张映像隐式迭代序列的强收敛性,将部分学者的论述从在Hilbert空间中推广到了一致凸的Banach空间,完善和改进了相关的证明。

英文摘要：

Under the case that the Banach space admits a uniform normal structure and a uniformly Gateaux differentiable norm,we give the convergence theorems of the implicit iteration process for nonexpansive mapping.The main results in this paper generalize the corresponding results of some studies.

同期刊论文项目
Banach空间上非线性微分包含及其应用
期刊论文 34
Banach空间上非线性算子半群与非线性微分包含及其应用
期刊论文 46
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