兰州大学机构库 >数学与统计学院
序压缩映射的不动点定理
Alternative TitleFixed Point of Ordered Contractive Maps
隋玉霞
Thesis Advisor孙春友
2009-06-03
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
Keyword序Banach空间 序压缩映射 不动点
Abstract本文主要讨论序 Banach 空间中非线性映射的不动点的存在性问题. 在前人已有的工作基础上, 本文引入了几种新的按序压缩的压缩映射, 利用锥理论和单调迭代技巧, 推广并证明了相应的不动点存在性定理. 在第一章中, 主要介绍半序 Banach 空间中的背景知识; 第二章主要介绍我们将用到的已有结论; 在第三章中, 我们给出并证明本文的主要结果.
Other AbstractThis thesis is devoted to investigating the existence of fixed points for some nonlinear mappings in ordered Banach space. We first introduce several new ordered contractive mappings, then, applying the cone theory and the monotone iterative techniques, we prove the existence of fixed points for such mappings. In chapter one, we present some background and the corresponding results about the fixed points in ordered Banach spaces; In chapter two, we give the necessary preliminaries which will be used later; Finally, in chapter three, we state and prove our main results.
URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/224554
Collection数学与统计学院
Recommended Citation
GB/T 7714
隋玉霞. 序压缩映射的不动点定理[D]. 兰州. 兰州大学,2009.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[隋玉霞]'s Articles
Baidu academic
Similar articles in Baidu academic
[隋玉霞]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[隋玉霞]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.