凸幂凝聚算子的Altman型不动点定理

J4 ›› 2013, Vol. 48 ›› Issue (6): 87-90.

凸幂凝聚算子的Altman型不动点定理

张秀萍,张国伟

东北大学理学院, 辽宁沈阳 110819

收稿日期:2012-09-04 出版日期:2013-06-20 发布日期:2013-06-09
作者简介:张秀萍(1987- ), 女, 硕士, 研究方向为非线性泛函分析. Email: zxgzxp@126.com
基金资助:
辽宁省自然科学基金资助项目(201102070)

Fixed point theorems of Altman type about convex-power condensing operator

ZHANG Xiu-ping, ZHANG Guo-wei

School of Sciences, Northeastern University, Shenyang 110819, Liaoning, China

Received:2012-09-04 Online:2013-06-20 Published:2013-06-09

摘要/Abstract

摘要：

讨论了第一个指数大于1,第二个指数不小于0和第一个指数在0到1之间,第二个指数不小于0指数情形不等式条件下凸幂凝聚算子不动点的存在性,得到了几个新的结论,推广和补充了Altman型不动点定理。

关键词: 不动点;凸幂凝聚算子;1-集压缩

Abstract:

The existence of fixed points about convex-power condensing operator is discussed under the inequality conditions in which the first exponent is respectively greater than 1 and between 0 and 1, the second exponent is not less than 0. Some new conclusions are obtained which extend and supplement the fixed point theorems of Altman type.

Key words: fixed point; convex-power condensing operator; 1-set-contractive

张秀萍,张国伟. 凸幂凝聚算子的Altman型不动点定理[J]. J4, 2013, 48(6): 87-90.

ZHANG Xiu-ping, ZHANG Guo-wei. Fixed point theorems of Altman type about convex-power condensing operator[J]. J4, 2013, 48(6): 87-90.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed