东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (12): 1800-1802.DOI: -

• 论著 • 上一篇    

Altman型不动点定理

张国伟;山珊;   

  1. 东北大学理学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-12-15 发布日期:2013-06-22
  • 通讯作者: Zhang, G.-W.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(10771031)

On the theorems of altman-type fixed point

Zhang, Guo-Wei (1); Shan, Shan (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-12-15 Published:2013-06-22
  • Contact: Zhang, G.-W.
  • About author:-
  • Supported by:
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摘要： 针对Altman型不动点定理,讨论了在第一个指数在0和1之间和第二个指数不大于0,以及只有一个小于0指数情形范数不等式条件下全连续算子不动点的存在性.证明了几个新的不动点定理.对应最近文献中第一个指数大于1,第二个指数不小于0在范数不等式条件下的不动点定理,推广和补充了这些文献中的结果.

关键词: 不动点, 全连续算子, 1-集压缩

Abstract: The theorems of Altman-type fixed point are studied. The existence of the fixed point of completely continuous operator is discussed under the norm inequality conditions that the first exponent is between 0 and 1, the second one is not greater than 0 and there is only one exponent that is less than 0. Some new fixed point theorems are proved. In contrast to the fixed point theorems as shown in earlier works where the first exponent is greater than 1 and the second one is not less than 0 under the norm inequality conditions, some supplements are given to those theorems.

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