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Under the conditions of compatibility or sub-compatibility between a set-valued mapping and a single-valued mapping, the existence of cotnnlon fixed points for two set-valued mapping and a single-valued mapping in complete metric space is discussed.

在集值映象与单值映象相容或次相容的条件下，讨论了度量空间中两个集值映象和一个单位映象的公共不动点的存在性，改进和推广了一些相应结果。

Under the conditions of compatibility or sub-compatibility between a single-valued mapping and a set-valued mapping,a necessary and sufficient condition for set-valued mapping pair and single-valued mapping which have the common fixed point in complete convex metric space are given.

在单值映象与集值映象相容或次相容的条件下，给出了完备凸度量空间中集值映象对与单值映象存在公共不动点的一个充要条件，改进和推广了某些已知结果。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

The interactions between two semifolded solitons are elastic,while the interactions among other nonlinear multivalued and single valued excitation patterns such as the interactions between semifolded soliton and single valued localized soliton,semifolded soliton and folded soliton,and the interaction among semifolded soltion,folded soliton and single valued localized solitons,are nonelastic generally,which reveal different exotic and important nonlinear mechanical properties.

半折叠孤子之间的非线性相互作用是弹性，而半折叠孤子与单值局域孤子、半折叠孤子与折叠孤子以及更复杂的半折叠孤子、折叠孤子、单值局域相干孤子之间等多值和单值非线性激发模式间的相互作用是非弹性的，呈现出多样的非线性特性。

Selecting proper single valued variable separation functions in the 2+1 variable separation solutions,we construct many types of single valued coherent soliton structures such as dromion,dromion lattice,solitoff,2-solitoff,static and kinetic breather,instanton,compacton, peakon,and so on.The interactions among these coherent localized excitations including the collisions of compaction and compacton,peakon and peakon,line soliton and y-periodic soliton,dromion and dromion,dromion and solitoff,et al,are investigated analytically and graphically,and found that can be elastic and nonelastic respectively,which reveal various exotic and important nonlinear characters and interaction properties.

在2+1维分离变量解中选择适当的的单值分离变量函数，构造了2+1维非线性波动模型多种单值相干孤子结构如Dromion，Dromion格子，Solitoff，2-Solitoff，静止和运动呼吸子、瞬子、Compacton、Peakon等；考察了一些典型的非线性激发模式间如Compacton和Compacton，Peakon和Peakon，线孤子和y-周期孤子，Dromion和Dromion，Dromion和Solitoff之间等相互作用行为，发现其相互作用可以弹性的也可以是非弹性的，揭示了多样奇异而重要的非线性特性。

Based on 2+1 dimensional variable separation solutions,introducing proper single valued and multivalued functions,abundant nonlinear single valued and multivalued localized excitation patterns especially folded solitary wave excitations are derived.

基于2+1维非线性分离变量解，选择适当的单值和多值函数，获得(来源：ABC论df文网www.abclunwen.com)了丰富的非线性单值和多值局域激发模式，特别是多值折叠孤立波激发。

Is a many-valued function of x which is a collection of single-valued functions called branches.

是一个x的多值函数，其中x是一个包含了branch的集合，而branch是一单值函数。

In chapter three, the electricity consumers' behaviors and preferences are researched. But he electricity consumers' behaviors and preferences are private information, which it is difficult to know for utility company. This paper comes up with two kinds of models both single-valued and interval- valued fuzzy comprehensive evaluation for utility company to get about users' sufficient information on demand-side consumption identity, which are effective measures for utility company's marketing research.

第三章对消费者的行为和偏好进行了研究，但是消费行为和偏好是消费者的私有信息，供电公司不太容易观察得到，本章提出了单值和区间值模糊综合评价用于电力市场的消费者对电力产品进行的指标体系评价的测评模型并进行了分析，能够使电力公司得到关于需求侧用户消费特性的充分信息，对供电公司在市场营销中进行市场细分提供了一种行之有效的方法。

Secondly, we conside some kinds of projection iterative schemes for variational inequality problem ≥0, which divide to two aspects, one is S is the single-valued operator, the other is S is the multi-valued.

其次，讨论了变分不等式≥0中S为单值算子和多值算子情况下的几种投影迭代算法。

This kind of problems is first changed into the model of perceptrons in neural theory, Under the assumption of a finite set of social states. a sufficient and necessary condition for single-valued choice functions to be sum-fuzzy implementable is obtained: a geometric characterization is also given: an efficient algorithm for the sumfuzzy implementation of single-valued choice func...

本文在有限社会状态集合的情形，给出了单值选择函数是和型Fuzzy可实现的一个充要条件；并给出了相关几何描述结论；借助于感知器的学习算法规则给出了单值选择函数的和型Fuzzy实现的有效算法；最后还给出了一个具体例子。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。