1、

A new iterative scheme is introduced which is proved to be weakly convergent to zero point of maximal monotone operator A by using the techniques of Lyapunov functional, Qr operator and generalized projection operator, etc.

本文将引入新的迭代算法,并利用Lyapunov泛函,Qr算子与广义投影算子等技巧,证明了迭代序列弱收敛于极大单调算子A的零点的结论。

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2、

perturbation theorems of range of maximal monotone operator

极大单调算子值域的扰动定理

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3、

mapping theorems of expansive maximal monotone operator

扩张型极大单调算子的映射定理

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4、

the perturbation theory of maximal monotone operator and its application to differential equation

极大单调算子的扰动定理及在微分方程上的应用

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5、

the iterative convergence theorem of zero point for maximal monotone operator in banach space and its application

Banach空间中极大单调算子零点的迭代收敛定理及应用

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6、

mapping theorems of maximal monotone operator and its application to differential equation

极大单调算子的映射定理及在微分方程上的应用

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7、

the solvability of abstract equation involving the maximal monotone operator

与极大单调算子相关的抽象方程的可解性

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8、

a theorem of iterative approximation of zero point for maximal monotone operator in banach space

Banach空间中极大单调算子零点的迭代逼近定理

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9、

the iteration scheme with errors for zero point of maximal monotone operator in hilbert space

Hilbert空间中极大单调算子零点的带误差项的迭代格式

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10、

the concept of strongly monotonicity with respect to h and g and a new kind of nonlinear set-valued operator inclusions ( nsvoi) with ( h, η)-monotone operators are introduced in hilbert space.

引进了关于H和G的强单调性概念,在Hilbert空间中研究了新的一类关于(H,η)单调算子的非线性集值算子包含。

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11、

We mainly consider completely monotone functions from semigroup to operator algebras.

我们主要讨论了作用在半群上取值于算子代数的完全单调函数.

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