Banach空间中减算子的不动点

Banach空间中减算子的不动点

郑琰,庞新琴

济宁学院数学系, 山东曲阜 273155

收稿日期:2008-03-31 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 郑琰

The fixed point of decreasing operators in Banach space

ZHENG Yan, PANG Xin-qin

Department of Mathematics, Jining University, Qufu 273155, Shandong, China

Received:2008-03-31 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHENG Yan

摘要/Abstract

摘要： 利用序理论,分别从四个角度,以较简洁的条件,讨论了减算子不动点的存在性和惟一性,及其迭代逼近式,得到一些新的结论。

关键词:

序, 不动点

, 减算子

Abstract: In four different ways, in partial ordering Banach space, the existence and uniqueness of solutions for decreasing operators were discussed, and the convergent iterative sequence was also given. Some known results were improved.

Key words: fixed point, decreasing operators, ordering

中图分类号:

O177.91

郑琰,庞新琴 . Banach空间中减算子的不动点[J]. J4, 2008, 43(6): 57-60 .

ZHENG Yan,PANG Xin-qin . The fixed point of decreasing operators in Banach space[J]. J4, 2008, 43(6): 57-60 .

参考文献

相关文章 6

[1]	石新华. 不动点及亚纯函数微分多项式的惟一性[J]. 山东大学学报（理学版）, 2014, 49(2): 63-70.
[2]	许民利,郭沙沙. 基于序贯互惠均衡的委托代理信任研究[J]. J4, 2013, 48(3): 42-47.
[3]	范进军,张雪玲,刘衍胜. 时间测度上带p-Laplace算子的m点边值问题正解的存在性[J]. J4, 2012, 47(6): 16-19.
[4]	田应强,贾梅,柳树. 含积分边界条件的三阶常微分方程边值问题正解的存在性[J]. J4, 2011, 46(2): 22-28.
[5]	唐剑1, 谢祥云2. 序半群的完全素和素模糊理想[J]. J4, 2010, 45(8): 93-98.
[6]	孙建平,金翻霞,曹珂. 带参数的三阶m-点边值问题的单调正解[J]. J4, 2010, 45(12): 40-47.

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed