非线性增生算子方程的三重迭代及其收敛性分析

赵芬; 何震

doi:10.3969/j.issn.1000-1565.2004.05.006

河北大学学报(自然科学版) >

2004 , Vol. 24 >Issue 5: 468 - 471

DOI: https://doi.org/10.3969/j.issn.1000-1565.2004.05.006

非线性增生算子方程的三重迭代及其收敛性分析

赵芬 ,
何震

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河北大学,数学与计算机学院,河北,保定,071002

网络出版日期: 2004-09-25

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Three-step Iterations for Nonlinear Accretive Operator Equations and Convergence Analysis

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Online published: 2004-09-25

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摘要

提出了在一致光滑Banach空间中不带连续性条件的非线性增生算子方程的三重迭代程序并研究了其收敛性问题,所得的结果在更一般的条件下完善和扩展了以往的相关结论.

关键词： 三重迭代; 强增生映射; 强伪压缩映射; 非线性增生算子; 收敛性

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赵芬 , 何震 . 非线性增生算子方程的三重迭代及其收敛性分析[J]. 河北大学学报(自然科学版), 2004 , 24(5) : 468 -471 . DOI: 10.3969/j.issn.1000-1565.2004.05.006

参考文献

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[2] Zeqing Liu, S. M. Kang. Iterative Solutions of Nonlinear Equations with φ-Strongly Accretive Operators in Uniformly Smooth Banach Spaces [J]. Computers & Mathematics with Applications: An International Journal 2003, 4/5(4/5).
[3] Noor MA.. Three-step iterative algorithms for multivalued quasi variational inclusions [J]. Journal of Mathematical Analysis and Applications 2001, 2(2).
[4] NOOR M A. Somer preditor-corrector algorithms for multivalued variational inequalities [J]. Journal of Optimization Theory and Applications 2001, 108(03).
[5] Noor MA., Rassias TM., Huang ZY.. Three-step iterations for nonlinear accretive operator equations [J]. Journal of Mathematical Analysis and Applications 2002, 1(1).

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