1) multivalued increasing operator
多值增算子
1.
Several fixed theorems for multivalued increasing operators are obtained, and the obtained results extend and improve the related known works in the literature.
研究了一个多值增算子的不动点问题,获得了几个存在性定理,所获结果推广了已知的结论。
2) Set-valued accretive operator
多值增生算子
3) multivalued operator
多值算子
1.
Discussed the iterative solution of fix point for multivalued operator satisfied Uniformly one--sided Lipschitz condition in Hilbert space.
针对 Hilbert空间上一类满足一致单边 L ipschitz条件的多值算子不动点问题 ,讨论了其迭代解法 ,构造了参数凸组合形式的迭代格式 ,并证明了迭代过程的收敛性 。
4) 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
5) Nemytskij set-valued operators
Nemytskij多值算子
6) set valued quasi increasing operators
集值拟增算子
1.
In this paper,we introduce the concept of pseudo low separable,using the method of works of Sun Jinxian,we prove some new fixed point theorems of set valued quasi increasing operators.
该文引进伪下可分概念，借助孙经先先生的论文“非线性泛函分析序集一般原理的推广”中的方法，得出集值拟增算子的新不动点定
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