一致连续强伪压缩算子方程解的迭代逼近

  • 刘俊先
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  • 邢台学院,数学系,河北,邢台,054001

网络出版日期: 2009-07-25

基金资助

河北省科技支撑计划项目

Convergence of Operator Equations for Nonlinear Uniformly Continuous Strong Pseudocontractions in Arbitrary Banach Spaces

  • LIU Jun-xian
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Online published: 2009-07-25

摘要

设E是任意Banach空间,对非线性增生和强伪压缩算子方程引入三重迭代程序,在一致连续条件下研究其收敛性问题.把一重及二重迭代推广到三重迭代,使得Chidume和Osilike的主要结论成了本文的推论.

本文引用格式

刘俊先 . 一致连续强伪压缩算子方程解的迭代逼近[J]. 河北大学学报(自然科学版), 2009 , 29(4) : 351 -353 . DOI: 10.3969/j.issn.1000-1565.2009.04.004

参考文献

[1] Chidume CE., Osilike MO.. Nonlinear accretive and pseudo-contractive operator equations in Banach spaces [J]. Nonlinear Analysis: An International Multidisciplinary Journal 1998, 7(7).
[2] DEIMLING K. Zeros of accretive operators [J]. Manuscripta Mathematica 1974, 13.
[3] MARTIN Jr R H. A global existence theorem for autonomous differential equations in Banach Spaces [J]. Proceedings of the American Mathematical Society 1970, 26.
[4] CHIDUME C E. Iterative approximation of fixed points of Lipschitz strictly pseduo-contractive mappings [J]. Proceedings of the American Mathematical Society 1987, 99(02).
[5] KATO T. Nonlinear semigroups and evoltion equations [J]. Japan Math Soc 1964, 19.
[6] CHIDUME C E, OSILIKE M O. Iterative solutions of nonlinear accretive operator equations in arbitrary Banach Spaces [J]. Nonlinear Analysis-Theory Methods and Applications 1999, 36.
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