Points of Coincidence and Common Fixed Points for Ⅱ-Expansive Mappings on Complex Valued Metric Spaces

Abstract. We use the two mappings satisfying II-expansive conditions on complex valued metric spaces to construct the convergent sequences and prove that the unique limit of the sequences is the point of coincidence or common fixed point of the two mappings. Also, we discuss the uniqueness of points of coincidence or common fixed points and give the existence theorems of unique fixed points. The obtained results generalize and improve the corresponding conclusions in references.

THE SHARP ESTIMATE OF THE THIRD HOMOGENEOUS EXPANSION FOR A CLASS OF STARLIKE MAPPINGS OF ORDER α ON THE UNIT POLYDISK IN C^n

In this article, first, a sufficient condition for a starlike mapping of order a f（x） defined on the unit ball in a complex Banach space is given. Second, the sharp estimate of the third homogeneous expansion for f is established as well, where f（z） = （f1（z）, f2（z）,..., fn（z））＇ is a starlike mapping of order a or a normalized biholomorphic starlike mapping defined on the unit polydisk in Cn, and D2fk（0）（z2） /2i= zk（∑l=1^b akzzl）, k = 2t l=1 k = 1, 2,..., n. Our result states that the Bieberbaeh conjecture in several complex variables （the case of the third homogeneous expansion for starlike mappings of order α and biholomorphic starlike mappings） is partly proved.

AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION

In this article,the authors obtain an inequality of homogeneous expansion for f,where f is a quasi-convex mapping(including quasi-convex mapping of type A and quasi-convex mapping of type B)defined on the open unit polydisk in C n .Meanwhile,the authors also investigate its application.

SHARP ESTIMATES OF ALL HOMOGENEOUS EXPANSIONS FOR A SUBCLASS OF QUASI-CONVEX MAPPINGS OF TYPE B AND ORDER α IN SEVERAL COMPLEX VARIABLES

In this article, first, the sharp estimates of all homogeneous expansions for a subclass of quasi-convex mappings of type B and order B on the unit ball in complex Ba- nach spaces are given. Second, the sharp estimates of all homogeneous expansions for the above generalized mappings on the unit polydisk in （in are also established. In particular, the sharp estimates of all homogeneous expansions for a subclass of quasi-convex mappings （include quasi-convex mappings of type A and quasi-convex mappings of type B） in several complex variables are get accordingly. Our results state that a weak version of the Bieber- bach conjecture for quasi-convex mappings of type B and order a in several complex variables is proved, and the derived conclusions are the generalization of the classical results in one complex variable.

On the Second-order Item Coefficients for ε-starlike Mappings in C^n

Let B n be the unit ball in C n, we study ε-starlike mappings on B n. The upper bounds of second order item coefficients of homogeneous expansion for ε-starlike mappings are obtained.

SHARP ESTIMATES OF QUASI-CONVEX MAPPINGS OF TYPE B AND ORDER α

In this paper,we first establish several sharp inequalities of homogeneous expansion for biholomorphic quasi-convex mappings of type B and order a on the unit ball E in a complex Banach space X by applying the method and technique of complex analysis.Then,as the application of these sharp inequalities,we derive the sharp estimate of third homogeneous expansions for the above mappings defined on the unit polydisk U^n in C^n.

TRANSFORMATION BETWEEN TWO KINDS OF EXPANSION COEFFICIENTS OF SYMMETRIC FUNCTIONS BASED ON MAPPING METHOD

This paper discusses the definitions and properties of two kinds of fundamental symmetric functions, which are based on AND-OR-NOT algebraic system and AND-Exclusive OR algebraic system, respectively. Based upon it, some mapping transformation methods between two kinds of expansion coefficients of an arbitrary symmetric, function in the complete set of two fundamental symmetric functions.

THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α

The invariance of strong and almost spirallike mappings of type β and order α is discussed in this paper. From the maximum modulus principle of holomorphic functions, we obtain that the generalized Roper-Suffridge operators preserve strong and almost spirallike-hess of type β and order α on the unit ball B^n in C^n and on bounded and complete Reinhardt domains. Therefore we obtain that the generalized Roper-Suffridge operators preserve strong spirllikeness of type β, strong and almost starlikeness of order α, strong starlikeness on the corresponding domains.Thus we can construct more subclasses of spirallike mappings in several complex variables.

Spatio-temporal Evolution of Urban Expansion Based on a Novel Adjusted Index and GEE: A Case Study of Central Plains Urban Agglomeration, China

It is crucial to investigate the urban agglomerations spatio-temporal evolution patterns and driving factors for analyzing the urban spatial structure-functional division and promoting the coordinated development of urban agglomerations.In this study,a novel vegetation-building-nighttime light-adjusted index(VBNAI)was established for rapid and effective mapping of urban construction land(UCL)in Central Plains Urban Agglomeration(CPUA),China during 2000–2020 based on Google Earth Engine(GEE)platform.Compared with traditional indices,VBNAI can significantly decrease the blooming effect,Normalized Difference Vegetation Index(NDVI)saturation,and soil background of nighttime light data.In addition,the urban expansion indices and standard deviation ellipse model were synthetically adopted to analyze the spatio-temporal evolution pattern of urban expansion.The gravity model and the geographically weighted regression model were employed to determine the spatial interaction forces and drivers of urban expansion,respectively.The results showed that the VBNAI index has obvious advantages in efficiency and accuracy to extract UCL with the overall accuracy of more than 91%.The UCL of CPUA had increased by 4489.84 km2 during 2000–2020 with the gravity center moving towards southeast continuously.From 2000 to 2010,the urban expansion was in a‘center-hinterland’pattern which had benefit from the favorable effect of the traffic shaft belt.During 2010–2020,the urban network structure had basically established.Urban expansion had been influenced by a variety of socio-economic and demographic factors,and the impact degree varied from region to region.This study could provide scientific references for facilitating the intensive utilization of urban resources and optimizing the spatial development pattern of urban agglomeration.

体育锻炼积极情绪扩建理论的可视化分析

利用Citespace V可视化分析软件,以web of science收录的2013-2023年的积极情绪扩建理论研究领域的核心期刊为研究对象,通过对159篇相关文献数据分析并绘制可视化图谱,对积极情绪扩建理论近10年研究的发文量、科研作者、科研机构、研究热点与研究趋势等进行可视化分析。结果表明:文献量自2017年起始终处于波浪式递增;美国北卡罗来纳大学教堂山分校Fredrickson教授及其小组是积极情绪扩建理论的主要研究团队;研究热点与前沿主要集中在积极情绪、扩展与建构理论、积极心理、幸福感、生活满意度;该理论在跨学科研究中获得普遍认可,并广泛应用于抑郁症患者的临床治疗。建议国内学者积极探索适用于我国青少年心理健康发展的理论体系,加强高校、科研院所之间的合作,实现资源共享,提高研究质量,对进一步丰富和提高我国积极心理研究具有十分重要的意义。

基于虚拟坐标的矢量地图差值扩展可逆水印方法

传统差值扩展技术受数据相关性限制,直接应用于矢量数据可逆水印方案易导致较低的水印容量和较大的数据失真,对顶点相关性低的矢量地图,水印效果更差。为实现更高的水印容量并控制数据失真,该文针对传统差值扩展技术提出改进:①在顶点坐标之间插入虚拟坐标,以虚拟坐标为参考点计算坐标差值;②将计算得到的坐标差值直方图向左平移,使直方图峰值点与原点重合;③水印以差值扩展的方式嵌入平移后的坐标差值中。实验结果表明:该算法的水印容量为2 bit/点,至少是传统差值扩展水印容量的6倍;与传统差值扩展方法相比,数据失真更小,原始地图坐标与水印地图坐标的RMSE和地图坐标最大改变量Max-R均大幅降低,算法严格可逆且对顶点相关性低的矢量地图水印效果仍然很好。

基于时空长短时记忆神经网络的地基云图预测算法

针对传统云运动轨迹预测方法存在的预测精度差、空间结构细节信息丢失等问题,提出一种基于时空长短时记忆(ST-LSTM)神经网络的地基云图预测模型。首先使用卷积编码网络提取输入视频流的高维图像特征;然后在特征提取模型中对图像潜在信息进行多分支获取,一部分使用ST-LSTM神经网络提取不同帧之间的时空特征,另一部分将图像序列进行分解,并通过基于门控机制的记忆融合网络来获取分解后图像中的结构细节信息;最后将得到的分支特征进行组合后经过解码网络输出最终的预测视频流。在地基云图、Moving MNIST和Human 3.6M数据集上的实验结果表明,在图像预测准确率、结构细节信息保留效果以及人眼主观感受上,该预测模型均优于对比模型。与基准模型TaylorNet相比,所提模型在Moving MNIST数据集上均方误差指标和平均绝对误差指标分别降低15.7%和11.8%,在地基云图数据集上,其结构相似性指标与峰值信噪比指标分别提升1%和3.2%,且生成的视频流数据更为清晰,能够更准确地描述云层未来的运动状况,从而更可靠地预测光伏电站未来的输出功率。

面向柔性作业车间调度问题的混沌编码量子粒子群优化算法

为解决柔性作业车间调度问题,提出一种混沌编码量子粒子群优化算法。针对标准量子粒子群优化算法中粒子过早收敛于局部最优值的缺点,提出具有扰动行为的自适应收缩-扩张系数和关联粒子适应度值的计算方法,改善算法的全局搜索能力;通过引入混沌边界变异策略,减少粒子大量聚集在边界的概率,增加种群的多样性来提高搜索最优解的能力;针对量子粒子群优化算法的迭代特性,设计一种适用的混沌编码策略。将提出的改进量子粒子群优化算法应用于柔性作业车间调度问题,并通过多种基准算例与标准量子粒子群优化算法、粒子群优化算法和混合遗传算法进行对比,验证所提算法的性能。实验结果表明:混沌编码量子粒子群优化算法具有更好的稳定性和更强的寻优能力。

一种基于二维离散忆阻超混沌映射的增强型密钥扩展算法

密钥扩展在对称分组密码中起着重要的作用,但AES和SM4等串行密钥扩展算法是可逆且串行的,所生成的轮密钥之间缺少独立性.本文通过设计一个增强型密钥扩展算法生成期望数量的轮密钥,且满足不可逆性、并行性以及轮密钥之间的独立性.首先,通过在2维离散超混沌映射(2D-DCM)中添加一个忆阻器,构造一个基于忆阻器的2维离散超混沌映射(2D-MDCM),该映射的状态点在相空间中具有遍历性,在足够大的参数范围内具有良好的随机性.基于2D-MDCM设计一个强S盒,该S盒没有不动点、反不动点以及短周期环.利用混沌迭代的不可逆性以及S盒,设计一种不可逆的密钥扩展算法,该算法可以并行生成指定轮数且灵活长度的轮密钥,每轮轮密钥都可以由初始密钥独立生成.实验和分析结果表明,改进后的密钥扩展算法大大提高了初始密钥的安全性.

Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map

In this paper, a method based on the Dirichlet- to-Neumann map is developed for bandgap calculation of mixed in-plane waves propagating in 2D phononic crystals with square and triangular lattices. The method expresses the scattered fields in a unit cell as the cylindrical wave expansions and imposes the Bloch condition on the boundary of the unit cell. The Dirichlet-to-Neumann （DtN） map is applied to obtain a linear eigenvalue equation, from which the Bloch wave vectors along the irreducible Brillouin zone are calculated for a given frequency. Compared with other methods, the present method is memory-saving and time-saving. It can yield accurate results with fast convergence for various material combinations including those with large acoustic mismatch without extra computational cost. The method is also efficient for mixed fluid-solid systems because it considers the different wave modes in the fluid and solid as well as the proper fluid-solid interface condition.

基于·NET的MapXtreme2004矢量地图符号扩展

MapInfo软件是应用十分广泛的主流GIS软件之一,MapXtreme2004是MapInfo公司最新推出的面向网络地理信息发布的优秀组件。但是MapXtreme2004组件本身符号库功能相对薄弱,且矢量符号库的扩展比较困难,从而在一定程度上限制了其应用。对此,本文提出了一种基于.NET的MapXtreme2004矢量地图符号扩展新思路,即算法绘制、图元合并以及图层存储相结合的方法,详细讨论了该方法的关键技术点、实现思路和步骤,给出了实际应用效果示例。

Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces

In this article,we will investigate the properties of iterative sequence for non-expansive mappings and present several strong and weak convergence results of successive approximations to fixed points of non-expansive mappings in uniformly convex Banach spaces.The results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non-expansive mappings.

Fixed Points for Mean Non-expansive Mappings

For a Banach Space X Garcia-Falset introduced the coefficient R（X） and showed that if R（X） 〈 2 then X has a fixed point. In this paper, we define a mean non-expansive mapping T on X in the sense that ｜｜Tx - TY｜｜ ≤ a｜｜x - y｜｜ ＋ b｜｜x - Ty｜｜ for any x,y E X, where a,b ≥ 0, a ＋ b ≤ 1. We show that if R（X） 〈 1/1＋b then T has a fixed point in X.

平面弹性波入射下空沟隔振的解析分析

基于复变函数理论和保角映射方法,采用波函数展开法及多级坐标变换技术,解析求解了半无限空间中空沟对平面SH波和平面P波的隔振问题。首先,通过设虚源法和大圆弧假定法分别给出了平面SH波和平面P波入射半无限空间时的散射场。然后由空沟边界及大圆弧边界处的应力自由边界条件建立无穷阶线性方程组,并通过对该方程组的求解给出了空沟对平面SH波和平面P波散射的解析解答。最后,参数分析了激励频率、空沟深度等因素对隔振效果的影响规律。结果表明,空沟对平面SH波和平面P波的隔振效果随着入射波频率的增大而增大,随着空沟深度增大而增大。

100kt/aMAP装置料浆浓缩系统扩能翻番技术方案

针对粉状MAP需求旺盛,各厂都对原生产装置挖潜改造、扩能翻番,就现有100kt/a粉状MAP装置的浓缩系统改造为200kt/a的料浆浓缩系统,提出了两效三体的料浆浓缩技术方案。通过对蒸发水量计算,认为只需增设一套原100kt/a料浆浓缩系统的蒸发循环回路,就可达到产量翻番,实现投资省、工程量小的要求。