1) order preserving set-valued operator
保序集值算子
1.
The existence of the minimal and maximal fixed points for order preserving set-valued operators on semi-ordered sets and semi-ordered topological spaces was analyzed.
讨论了半序集和半序拓扑空间中保序集值算子的最小与最大不动点的存在性。
2) Order-preserving Operator
保序算子
3) set-valued operators
集值算子
1.
In this paper,the existence of fixed points of a class of set-valued operators is studied and obtained,also the sequence convergent to the fixed point is given.
在Banach空间中研究了一类集值算子的不动点存在性,在不附加连续性条件下得到了不动点存在性结果,且给出了其不动点的迭代收敛序列。
2.
In this paper,some definitions of the mixed monotonicity for set-valued operators in semiordered set are introduced and relation of monotonicities are discussed.
给出了半序集上集值算子的几种混合单调性定义 ,讨论了它们之间的关系 。
4) set-valued operator
集值算子
1.
The purpose of this thesis is to discuss the existence problems of the fixed points for set-valued operators and for single-valued operators in linear spaces.
本文主要讨论了算子的不动点的存在性问题,一是关于集值算子的,二是关于线性空间中的单值算子的。
6) set valued increasing operators
集值增算子
1.
By introducing the concepts of the lower increasing,upperincreasing ,total increasing and strong increasing for set valued operators and the concepts of totally ordered quasi complete set and totally self complete set in semiordered set ,the existence of fixed point for the set valued increasing operators composed of a single valued operator and a set valued operator is discussed.
通过引入集值算子的下增、上增、全增、强增和半序集上的全序拟备集、全序自备集等概念，讨论了由单值算子与集值算子复合而成的集值增算子的不动点的存在性，改进和推广了已有文献的某些结
补充资料：单值算子
单值算子
monodromy operator
单值算子〔m仪.山咖yo伴rator;MO“0皿poM”加onepa-TOP」 有界线性算子U(T)，它将Banach空间中微分方程交=A(t)x(其中A(t)是依赖于t的有界算子，即连续的、且以T为周期的)的解的初值x(0)=x。与在时刻T的值相联系:x(T)=U(T)x。对于每一个解，x(t十T)=U(T)x(t).在有限维空间中，u(T)对应于单值矩阵(monod比myIT坦tr认).单值算子的谱的位置影响着方程周期解的存在时，无穷远处解的性态，此方程化为常系数方程的可约性，以及指数分叉的存在性，对于A(O和f(灼具有周期性的非齐次方程交=A(t)x十f(t)，其周期解的存在和唯一性问题也借助于单值算子谱来解决 亦见B田.山空间中微分方程的定性理论(QI坦11-扭七ve theo习ofd正rerential闪Uations inBanachsPaces). C .F .KPe认H撰
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参考词条