不动

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

According to the linear stability condition of fixed point, a method of chaotic control is presented.

根据不动点的线性稳定条件，提出了一种混沌控制方法，通过对系统不动点邻域内的状态变量进行扰动，将系统引导至不动点。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

By using the partition theorem of unity, a continuous selection theorem for a multimap from a compact Hausdorff topological space to a finitely continuous topological spaces (simply, FC-spaces) without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given.

利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间的集值映射的连续选择定理，并从该结果和Tychonoff不动点定理，得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理，对文献中的相应结果进行了改进和一般化。

Results: The MBCs of ethanol, glutaraldehyde disinfectant, ShiKang disinfectant and quaternary ammonium disinfectant against multidrug-resistant Acinetobacter baumannii were 45%, 10000 mg/L, 6.3~12.5 mg/L and 100 mg/L, and the MBCs were 40%, 5000 mg/L, 3.1~6.3 mg/L and 50 mg/L Conclusion: MBC and MIC could represent the sensitive dose of multidrug-resistant Acmetoborter baumannu to disinfectants, and eight strains of multidrug-resistant Acinetobacter baumannii have certain resistance to some common disinfectants.

结果：乙醇、戊二醛消毒液、施康消毒液、季铵盐消毒剂对多重耐药鲍曼不动杆菌的MBC值分别为45%、10000 mg/L、6.3~12.5 mg/L、100 mg/L；MIC值分别为40%、5000 mg/L、3.1~6.3 mg/L、50 mg/L、50 mg/L。结论：MBC值和MIC值能基本反应多重耐药鲍曼不动杆菌对消毒剂的敏感剂量，8株多重耐药鲍曼不动杆菌对部分消毒剂产生一定程度的耐药性。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

In Chapter 2, we recapitulate some fundamental definitions and propositions of topological degrees and some fundamental results about the computation of topological degrees;in Chapter 3, applying relative definitions and propositions of topological degrees, we establish product formulae of topological degrees in product space, in particular, the product formula of fixed point index on product cone, moreover, combining with the fundamental propositions and the computation of fixed point index, we obtain some fixed point theorems on product cone.

为此，在第二章中，我们给出了拓扑度的基本概念和性质以及拓扑度计算方面的基本结果；在第三章中，运用拓扑度的有关知识，我们建立了乘积空间中各类映射的拓扑度的乘积公式，特别是乘积锥上的紧连续映射的不动点指数的乘积公式，进一步，结合不动点指数的基本性质和不动点指数计算方面的基本结果，得到了乘积锥上的若干不动点定理。

By properties of a real function, fixed points problem on two complete metric spaces are discussed.The result generalizes corresponding result of Fisher.Moreover, this result provides a general convergence rate estimate. Meanwhile, we discuss the existence of fixed point on two normed linear spaces under the condition of weak topology, and we obtain a new fixed point theorem.

利用实函数性质，讨论了两个不同度量空间中两个映象乘积的不动点问题，推广了Fisher的主要结果，并给了出逼近不动点的敛速估计；同时，在弱拓扑的意义下，利用分析的方法，讨论了赋范空间中有关映象不动点的存在性，得到一个新的不动点定理。

Analysis of the relation between serotonin and its receptor in OFC and stress depression(n=8):(1) Microinjection of 5-HT into OFC significantly shortened immobility time, dejections have no great changes; though locomotor、 grooming activitives have little increased, they have no significant difference; rearing scores greatly reduced;(2)microinjection of pCPA into OFC significantly prolong immobility time, dejections have no great changes; locomotor、rearing activities are greatly reduced, but have no significant effect on grooming activity receding;(3)compared with the effect of 5-HT alone, microinjection of spiperone combined with 5-HT into OFC, significantly prolong immobility time and greatly reduced dejections; locomotor、 rearing、 grooming activities are all reduced, but have no significant differences.

眶额叶区5-羟色胺(5-hydroxytryptamine，5-HT)及其受体与应激性抑郁症的关系(n=8)：(1)注射5-HT后，大鼠FST不动时间明显降低(P＜0.05)，粪便数量变化不显著(p＞0.05)，OFT水平运动、修饰得分虽均有升高，但无显著性差异(P＞0.05)，垂直活动显著降低(P＜0.05)；(2)注射色氨酸羟化酶抑制剂-对氯苯丙氨酸后，FST不动时间明显增加(P＜0.01)，粪便数量无显著性变化(p＞0.05)，OFT水平、垂直运动显著减少(P＜0.05)，修饰降低但无显著差异(P＞0.05)；(3)与5-HT组比较，先注射5-HT_(1A)受体拮抗剂后再注射5-HT，FST中的不动时间明显增加(P＜0.01)，粪便数量显著减少(p＜0.01)，但OFT水平、垂直、修饰活动均有所减少，却无显著性差异(P＞0.05)。

Then the fixed point of transformation can be found, among which those unstable ones are critical points of phase transition.

然后找出重整化变换的不动点，在所有不动点中那些不稳定不动点是发生相变的临界点。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。