期刊文献+

任意Banach空间中多值Φ-强增生型非线性算子方程的迭代解(英文)

Iterative solutions of nonlinear equations for multi-valued Φ-strongly accretive type operators in arbitrary Banach spaces
在线阅读 下载PDF
导出
摘要 使用一些分析技巧 ,讨论了任意 Banach空间中的多值和单值 Φ-强增生型非线性算子方程解的迭代逼近问题 ,且算子不必满足 Lipschitz条件 ,这些结果改进和发展了 Chang,Chidume,Deng- Ding,Liu,Osilike以及 Tan- Xu等人的一系列相关结果 . Using some analysis techniques,we discuss problem of iterative approximation of solutions of the nonlinear equation for multi valued Φ strongly accretive operators in arbitrary Banach spaces.The operators may not satisfy Lipschitzian conditions.Our results improve and extend the corresponding results by Chang,Chidume,Deng and Ding,Liu,Osilike and Tan and Xu,et al.
作者 谷峰
出处 《信阳师范学院学报(自然科学版)》 CAS 2002年第2期148-154,共7页 Journal of Xinyang Normal University(Natural Science Edition)
基金 Supported by the Nature Science Foundation of Heilongjiang provice (A 96 19)
关键词 迭代逼近问题 Φ-强增生算子 具误差Ishikawa迭代序列 具误差Mann迭代序列 Banach空间 多值φ-强增生型非线性算子方程 迭代解 strongly accretive operator Φ strongly accretive operator Ishikawa iterative sequence with error Mann iterative sequence with error
  • 相关文献

参考文献10

  • 1Browder F E.Nonlinear mappings of nonexpansive and accretive type in Banach spaces[].Bulletin of the American Mathematical Society.1967
  • 2Martin R H,Jr.A global existence theorem for autonomous differential equations in Banach space[].Proceedings of the American Mathematical Society.1970
  • 3Deng L,Ding X P.Iterative approximation of Lipschitz strictly pseudo-contractive mappings in uniformly smooth Banach spaces[].Nonlinear Analysis Theory Methods Applications.1995
  • 4CHANG S S.On Chidume’s open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces[].Journal of Mathematical Analysis and Applications.1997
  • 5Kato T.Nonlinear semigroups and evolution equations[].Journal of the Mathematical Society of Japan.1967
  • 6Chang SS.Some problems and results in the study of nonlinear analysis[].Nonlinear Analysis.1997
  • 7Chang S S,Cho Y J,Lee B S,et al.Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudocontractive mappings in Banach spaces[].Journal of Mathematical.1998
  • 8Tan K K,Xu H K.Iterative Solutions to Nonlinear Equations of Strongly Accretive Operators in Banach Spaces[].Journal of Mathematical.1993
  • 9Liu LS.Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces[].Journal of Mathematical.1995
  • 10Osilike M. O.Iterative Solution of Nonlinear Equations of the φ-strongly Accretive type[].Journal of Mathematical Analysis and Applications.1996

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