期刊文献+

拟增生算子方程广义最速下降法的收敛性特征条件 被引量:2

A Characteristic Condition for Convergence of Generalized Steepest Descent Method for Quasi-Accretive Operators Equations
原文传递
导出
摘要 本文给出了广义最速下降法强收敛于定义在一致光滑实Banach空间的真子集上的局部有界拟增生算子的零点的一特征条件.所得的结果推广和统一如徐宗本和蒋耀林等人的相应结果. In this paper, characteristic condition is given for a generalized steepest descent method to converge to the zeros of quasi-accretive locally bounded operators defined on proper subsets of a uniformly smooth real Banach space. These results extend and unify the corresponding ones by Xu Zhongben and Jiang Yaolin, and others.
作者 倪仁兴
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2005年第1期115-124,共10页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10271025)浙江省自然科学基金资助项目(102002)
关键词 增生算子方程 强收敛 局部有界 实BANACH空间 特征条件 一致光滑 收敛性 性特征 Quasi-accretive locally bounded operator Generalized steepest descent method Characteristic condition
  • 相关文献

参考文献1

共引文献2

同被引文献6

  • 1Xu Yuguang. Ishikawa and Mann iterative process with errors for nonlinear strongly accretive operator equations [J]. d Math Anal Appl, 1998, 224(1):91-101.
  • 2Chang S S, Cho Y J, Zhou H Y. Iterative methods for nonlinear operator equations in Banach space [M]. New York: Nova Science Publishers, 2002.
  • 3Zhou Haiyun. Ishikawa iterative process with errors for Lipschitzian and ¢-hemi- contractive mapping in Banach spaces [J]. Journal of Mathematical Research Ezpositiort, 2000, 20(2):159-165.
  • 4Huang Zhenyu. Approximating fixed points of ¢-hemi-contractive mappings by Ishikawa iteration process with errors in uniformly smooth Banach spaces [J]. Computers Math Applic, 1998, 36(2):13-21.
  • 5Chidume C E, Chidume C O. Convergence theorems for fixed points of uniformly contin- uous generalized Ф-hemi-contractive mappings [J]. J Math Anal Appl, 2005, 303(2):545- 554.
  • 6倪仁兴.实Banach空间中渐近半压缩映象的不动点[J].应用数学,2004,17(1):49-54. 被引量:2

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部