Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces

被引：0

作者：

You Xian Tian

Shih-sen Chang

Jialin Huang

Xiongrui Wang

J. K. Kim

机构：

[1] Chongqing University of Post Telecommunications,College of Mathematics and Physics

[2] Yibin University,Department of Mathematics

[3] Kyungnam University,Department of Mathematics

来源：

Fixed Point Theory and Applications | / 2008卷

关键词：

Banach Space; Recent Result; Iterative Process; Differential Geometry; Convergence Theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a new implicit iteration process with errors for finite families of strictly asymptotically pseudocontractive mappings and nonexpansive mappings is introduced. By using the iterative process, some strong convergence theorems to approximating a common fixed point of strictly asymptotically pseudocontractive mappings and nonexpansive mappings are proved. The results presented in the paper are new which extend and improve some recent results of Osilike et al. (2007), Liu (1996), Osilike (2004), Su and Li (2006), Gu (2007), Xu and Ori (2001).

引用

共 50 条

[1] Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces
Tian, You Xian
Chang, Shih-sen
Huang, Jialin
Wang, Xiongrui
Kim, J. K.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
[2] IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF AN INFINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES
Chang, Shih-Sen
Cho, Yeol Je
Kim, Jong Kyu
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (04): : 571 - 581
[3] IMPLICIT APPROXIMATION METHODS FOR COMMON FIXED POINTS OF A FINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES
Nguyen Buong
[J]. MATEMATICKI VESNIK, 2009, 61 (02): : 103 - 110
[4] Relaxed Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mappings
Ceng, L. C.
Shyu, David S.
Yao, J. C.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
[5] Relaxed Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mappings
L. C. Ceng
David S. Shyu
J. C. Yao
[J]. Fixed Point Theory and Applications, 2009
[6] An Implicit Iteration Process for Common Fixed Points of Two Infinite Families of Asymptotically Nonexpansive Mappings in Banach Spaces
Deng, Wei-Qi
Bai, Peng
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[7] ON AN ITERATION PROCESS FOR COMMON FIXED POINTS OF NONSELF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Khan, Safeer Hussain
Kiziltunc, Hukmi
Purtas, Yunus
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (01): : 235 - 248
[8] Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
Osilike, MO
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) : 73 - 81
[9] AN ITERATIVE APPROXIMATION OF FIXED POINTS OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES
Shehu, Yekini
[J]. MATEMATICKI VESNIK, 2015, 67 (02): : 79 - 91
[10] Composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
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Li, Sullong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (02) : 882 - 891

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