查询词典 fixed point theorem

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。

In the part of empirical analysis of Chinese IPO first-day return, the difference between existing study and this study is that we use principal components analysis to extract from five factors to construct investors'sentiment index, add it to controled varibles, on which we examine the influence of offering mechanism on IPO first-day return. Moreover, we gather statistics and compare the IPO holding return for lockup period between fixed-price-class offering method and bookbuilding-class offering method, as well as price range between Chinese A-share market and Hongkong stock market, which prvide comprehensive evidence to appraise Chinese IPO bookbuilding mechanism. 2. Compare to the existing literatures which consider discount or allocation, incentive allocation and discount are considered at the same time in optimal mechanism design in this dissertation, and the offering bottom price is introduced to the price range. We investigate the relationship between price range and allocation quantity, and obtain the optimal price range and allocation strategy so that the advantages of independent allocation are reflected. On the other hand, the disadvantages of independent allocation are reflected in the manipulation in case of no restriction on IPO allocation. To distinguish from the existing literatures, bookbuilding mechanism is introduced to the model. We study the allocation strategy adopted by the underwriter in the pooling equilibrium of manipulation. In addition, we analyze the incentive compatibility conditions to which the existence of pooling equilibrium should satisfy and examine some factors'impact on the existence of manipulation.3. In bookbuilding without independent IPO allocation, Chinese realistic IPO background is considered and the condition of bookbuilding and fixed-price hybrid offering is added. Divide bookbuilding and fixed-price hybrid offering into sequential hybrid and simultaneous hybrid, and point out that the key points of subscription strategy in the two kinds of hybrid are different. Through modeling and simulation we obtain the impact of institutional investors'subscription strategy on bookbuilding without independent IPO allocation, which fill the gap in related research. Moreover, in the part of IPO bookbuilding with over-allotment option, the pricing strategy is divided into hot-IPO strategy and weak-IPO strategy. Take into account the procedure of Chinese IPO with over-allotment option, it presents how the underwriter determines the pricing strategy and what effect it brings to offering price and issue size through modeling and simulation. Therefore, it is instructive as a complement to existing literatures.

此外，对我国A股市场询价发行方式与固定价格发行方式下的IPO锁定期到期时持有收益率、以及我国A股市场与香港市场的询价发行价格区间进行了统计比较，为评价我国IPO市场的询价发行提供了比较全面的依据。2、相比已有文献仅考虑折价和分配中的一种激励措施，本论文在有自主配售权下的机制设计中并用了分配与折价两种激励措施，并且在价格区间的制定中引入发行底价，考察了价格区间与分配量之间的关系，得到最优的价格区间和分配策略，从中体现自主分配权的优点；在有自主分配权下的操纵行为研究中则体现了自主配售权的弊端，与已有文献不同的是，在模型中引入了累计投标询价机制，研究了承销商在混同均衡操纵中采取的分配策略，并对操纵存在的条件进行分析讨论，得出各个因素对混同均衡操纵存在的影响。3、在无自主分配权下的询价发行中，充分考虑了我国实际应用的背景，加入了与固定价格发售混合的条件，并将询价与固定价格混合发行分为序贯与同步两种方式，指出机构投资者在两种情况下申购策略的侧重点各有不同，通过对序贯混合发行方式下的网下累计投标策略以及同步混合发行方式下的资金分配策略的模型建立和数值仿真，考察了机构投资者申购策略对无自主分配权下的询价发行的影响，填补了相关研究文献的空白；在包含超额配售选择权的询价发行中，将发行定价策略分为热销策略和弱销策略，在考虑了我国含超额配售选择权的发行流程下，通过建模以及数值仿真得出承销商会对发行定价策略作出怎样的选取，进而会对新股发行价格、发售数量产生怎样的影响，对目前相关研究的缺乏做出了有益的补充。

Based on the Kalman filter and projection theory,the new optimal fixed-point,fixed-interval and fixed-lag Kalman smoothers are presented for systems with correlated noises having non- zero means.

中文摘要：对于带非零均值相关噪声的线性离散随机系统，基于Kalman 滤波器和射影理论，提出了新的最优固定点、固定区间和固定滞后 Kalman 平滑器。

Based on the Kalman filter and projection theory,the new optimal fixed-point,fixed-interval and fixed-lag Kalman smoothers are presented for systems with correlated noises having non- zero means.

对于带非零均值相关噪声的线性离散随机系统，基于Kalman 滤波器和射影理论，提出了新的最优固定点、固定区间和固定滞后 Kalman 平滑器。

This paper is concerned with the existence of positive solution for singular m-point boundary value problems with p-Laplacian operator by using a fixed point theorem on cone.

运用锥拉伸压缩不动点定理，讨论了一类具有p-Laplacian算子m-点奇异边值问题的正解的存在性，推广和包含了一些已知的结果。

According to the theorem Euler characteristic is equal to 2 on the sphere, it is show that this maps has at least one fixed point,that is to say the vector field has at least one singular point.

在地壳的每一点，由于受力定义了整个地壳上的向量场，然后利用同胚，将其转化为球面上的自映射，并根据球面的欧拉示性数等于2，说明该自映射至少有一个不动点，即向量场至少有一个奇点。

Meromorphic function, holomorphic function, normality, iterate, fixed point, periodic point, periodic cycle, composite function, shared value, unicity theorem

亚纯函数，全纯函数，正规族，不动点，周期点，周期轨道，复合函数，分担值，唯一性定理

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

The existence of triple positive solutions for second order multi-point boundary value problem is investigated by using Avery-Peterson fixed point theorem. Gives the sufficient conditions for the existence of three positive solutions of the problems.

研究一类二阶非线性微分方程的n点边值问题正解的存在性，应用Avery-Peterson不动点定理，给出这类边值问题至少存在3个正解的充分条件。

Firstly in§2.1, by applying the fixed point theorem the existence of positive solutions for second-order three-point boundary value problem is discussed.

第二节，运用不动点定理研究四阶两点边值问题正解的存在性。

Metrorrhagia is also gynaecological problems of common diseases.

崩漏是妇科常见病也是疑难症。

WordFTP gives you the convenience and timesaving you need.

wordftp让您的方便和省时您所需要的。