复合隐格式迭代序列逼近严格伪压缩映像族公共不动点

doi:10.3969/j.issn.1000-1565.2008.01.006

河北大学学报(自然科学版) ›› 2008, Vol. 28 ›› Issue (1): 14-17.DOI: 10.3969/j.issn.1000-1565.2008.01.006

复合隐格式迭代序列逼近严格伪压缩映像族公共不动点

高俊宇¹,陈丽萍²,苏永福³

1.沧州师范专科学校,数学系,河北,沧州,061001； 2.河北政法职业学院,计算机系,河北,石家庄,050061； 3.天津工业大学,理学院,天津,300160

出版日期:2008-01-25 发布日期:2008-01-25
基金资助:
天津市重点学科建设基金

Composite Implicit Iteration Sequence for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mapings

GAO Jun-yu¹,CHEN Li-ping²,SU Yong-fu³

Online:2008-01-25 Published:2008-01-25

摘要/Abstract

摘要： Osilike证明了隐格式迭代过程逼近严格伪压缩映像族的收敛定理及相关结果,改进了Xi与Ori在关于非扩张映像族的结果.本文建立了严格伪压缩映像族的隐格式组迭代过程,进而证明了隐格式组迭代过程逼近严格伪压缩映像族的收敛定理及相关结果.改进与拓广了Osilike的结果.

关键词: 严格伪压缩映像, 隐格式组迭代, 公共不动点, 收敛定理

中图分类号:

O177.91 O177.2

高俊宇,陈丽萍,苏永福. 复合隐格式迭代序列逼近严格伪压缩映像族公共不动点[J]. 河北大学学报(自然科学版), 2008, 28(1): 14-17.

GAO Jun-yu,CHEN Li-ping,SU Yong-fu. Composite Implicit Iteration Sequence for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mapings[J]. Journal of Hebei University (Natural Science Edition), 2008, 28(1): 14-17.

参考文献

[1] 苏永福, 顾光辉, SU Yong-fu, GU Guang-hui. 严格伪压缩映像隐迭代格式逼近公共不动点的几何结果 [J]. 河北大学学报(自然科学版) 2005.doi:10.3969/j.issn.1000-1565.2005.05.002
[2] BROWBER F E, PETRYSHYN W V. Construction of fixed points of nonlinear mappings in Hilbert spaces [J]. Journal of Mathematical Analysis and Applications 1967, 20.
[3] HICKS T L, KUBICEK J R. On the Mann iterative process in Hilbert spaces [J]. Journal of Mathematical Analysis and Applications 1977, 59.
[4] MARUSTER S. The solution by iteration of nonlinear equations [J]. Proceedings of the American Mathematical Society 1977, 66.
[5] Osilike MO., Udomene A.. Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type [J]. Journal of Mathematical Analysis and Applications 2001, 2(2).
[6] OSILIKE M O. Strong and weak convergence of the Ishikawa iteration methods for a class of nonlinear equations [J]. Bulletin of the Korean Mathematical Society 2002, 37.
[7] RHOADES B E. Comments on two fixed point iteration methods [J]. Journal of Mathematical Analysis and Applications 1976, 56.
[8] RHOADES B E. Fixed point iterations using infinite matrices [J]. Trans Amer Math Sec 1974, 196.
[9] Hong-Kun Xu, Ramesh G. Ori. An implicit iteration process for nonexpansive mappings [J]. Numerical Functional Analysis and Optimization 2001, 5/6(5/6).
[10] Osilike MO. Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps [J]. Journal of Mathematical Analysis and Applications 2004, 1(1).
[11] OSILIKE M O, ANIAGBOSOR S C, AKUCHU B G. Fixed points of asymptotically demicontractive mappings in arbitrary ba-nach spaces [J]. Pan-American Mathematical Journal 2002, 12.
[12] DEIMLING K. Zero of accretive operators [J]. Mannscripta Math 1974, 13.
[13] REICH S. Iterative methods for accretive sets [M]. New York:Academic Press, Inc 1978.
[14] BROWBER F E. Nonlinear mappings of nonexpansive and accretive type in Banach spaces [J]. Bulletin of the American Mathematical Society 1967, 73.

复合隐格式迭代序列逼近严格伪压缩映像族公共不动点

Composite Implicit Iteration Sequence for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mapings

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

编辑推荐

Metrics

本文评价

[1]	刘立红,周海云,陈东青. Hilbert空间中严格伪压缩映像有限族公共不动点的迭代算法[J]. 河北大学学报(自然科学版), 2011, 31(3): 236-239.
[2]	张丽娟,陈俊敏. 有关非扩张映射的带误差的迭代收敛定理[J]. 河北大学学报(自然科学版), 2007, 27(3): 238-240.
[3]	苏永福,顾光辉. 严格伪压缩映像隐迭代格式逼近公共不动点的几何结果[J]. 河北大学学报(自然科学版), 2005, 25(5): 458-460.