全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Banach空间中局部强伪压缩映射的新不动点定理

DOI: 10.3969/j.issn.1000-5013.2007.03.026

Keywords: 局部强伪压缩映射, 不动点, Banach空间, Altman定理, Roth定理, Petryshyn定理

Full-Text   Cite this paper   Add to My Lib

Abstract:

利用Banach空间中局部强伪压缩映射的一个基本不动点定理,在适当的边界条件下,得到了Banach空间中局部强伪压缩映射的新不动点定理.特别地,得到Banach空间中局部强伪压缩映射的Altman定理、Roth定理和Petryshyn定理,以及定理的各种推广形式.

References

[1]  MORALES C H, MUTANGADURA S A. On the approximation of fixed points for locally pseudocontractive mappings [J]. Proceedings of the American Mathematical Society, 1995(2):417-423.
[2]  MORALES C H, MUTANGADURA S A. On a fixed point theorem of Kirk [J]. Proceedings of the American Mathematical Society, 1995, (11):3397-3401.
[3]  KIRK W A. A fixed point theorem for local pseudo-contractions in uniformly convex spaces [J]. Manuscripta Mathematica, 1979(1):89-102.
[4]  MARTIN R H. Differential equations on closed subsets of a Banach spaces [J]. Transactions of the American Mathematical Socity, 1973(2):399-414.
[5]  GUO Da-jun. Existence and uniqueness of positive fixed points for mixed monotone operators and applications [J]. Applicable Analysis, 1992(1):91-100.
[6]  MORALES C H. On the fixed-point theory for locally k-pseudocontractions [J]. Proceedings of the American Mathematical Society, 1981(1):71-74.
[7]  MORALES C H. Strong convergence theorems for locally pseudo-contractive mappings in Banach spaces [J]. Houston Journal of Mathematics, 1990(2):549-557.
[8]  KIRK W A, MORALES C H. Fixed point theorem for local strong pseudo-contractions [J]. Nonlinear Analysis-Theory Methods & Applications, 1980(2):363-368.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133