凸幂凝聚算子的Altman型不动点定理  

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

作　　者：张秀萍[1] 张国伟[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110819

出　　处：《山东大学学报（理学版）》2013年第6期87-90,99,共5页Journal of Shandong University(Natural Science)

基　　金：辽宁省自然科学基金资助项目(201102070)

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。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 exponem is not less than O. Some new conclusions are obtained which extend and supplement the fixed point theorems of Altman type.

关 键 词：不动点 凸幂凝聚算子 1-集压缩 

分 类 号：O177.91[理学—数学]