四川大学学报(自然科学版)
四川大學學報(自然科學版)
사천대학학보(자연과학판)
JOURNAL OF SICHUAN UNIVERSITY(NATURAL SCIENCE EDITION)
2010年
1期
17-20
,共4页
迭代%集值映射%集值点%有界性
迭代%集值映射%集值點%有界性
질대%집치영사%집치점%유계성
iteration%set-valued function%set-valued point%boundedness
集值点个数的增加是集值映射迭代之所以复杂的根本原因.本文研究一类只有一个集值点的集值映射的迭代,给出这类映射在迭代下集值点个数不增加的条件.
集值點箇數的增加是集值映射迭代之所以複雜的根本原因.本文研究一類隻有一箇集值點的集值映射的迭代,給齣這類映射在迭代下集值點箇數不增加的條件.
집치점개수적증가시집치영사질대지소이복잡적근본원인.본문연구일류지유일개집치점적집치영사적질대,급출저류영사재질대하집치점개수불증가적조건.
The number of set-valued points increasing is the main reason for the complexity of iteration of set-valued mappings. In this paper it is investigated that iterates of a class of set-valued functions with a single set-valued point. Conditions for the number of set-valued points not to increase under iteration are given.