凸幂凝聚增或减算子的不动点  

Fixed Points of Convex-Power Condensing Increasing/Decreasing Operator

作　　者：张国伟[1] 张同山[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2012年第8期1206-1208,共3页Journal of Northeastern University(Natural Science)

基　　金：辽宁省自然科学基金资助项目(201102070)

摘　　要：在由正规锥导出的半序Banach空间中,讨论了凸幂凝聚增或减算子不动点的存在性.对于凸幂凝聚增算子是锥区间自映射的情形,证明了在锥区间中存在最大不动点和最小不动点的结论.对于凸幂凝聚减算子是锥映射的情形,在一定条件下证明了存在唯一正不动点的结论.在这两种情形中,均给出了收敛到不动点的迭代序列.In partial ordered Banach space deduced by normal cone, the existence of fixed points is discussed for a convex-power condensing operator which is increasing or decreasing. It is proved that when the convex-power condensing increasing operator is self-mapping in a cone interval, there exist the maximal and minimal fixed points and that when the convex-power condensing decreasing operator is cone-mapping, there exists a unique positive fixed point under certain conditions. In both cases, the iterative sequences converging to the fixed points are given.

关 键 词：不动点 凸幂凝聚 增算子 减算子 

分 类 号：O177.91[理学—数学]