PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEARQUASIVARIATIONAL INCLUSIONS

In this paper, a class of generalized strongly nonlinear quasivariational inclusions are studied. By using the properties of the resolvent operator associated with a maximal monotone; mapping in Hilbert space, an existence theorem of solutions for generalized strongly nonlinear quasivariational inclusion is established and a new proximal point algorithm with errors is suggested for finding approximate solutions which strongly converge to the exact solution of the generalized strongly, nonlinear quasivariational inclusion. As special cases, some known results in this field are also discussed.

A Note on the Paper “Generalized -Contraction for a Pair of Mappings on Cone Metric Spaces”

We note that Theorem 2.3 [1] is a consequence of the same theorem for one map.

On Over-Relaxed Proximal Point Algorithms for Generalized Nonlinear Operator Equation with (A,η,m)-Monotonicity Framework

In this paper, a new class of over-relaxed proximal point algorithms for solving nonlinear operator equations with (A,η,m)-monotonicity framework in Hilbert spaces is introduced and studied. Further, by using the generalized resolvent operator technique associated with the (A,η,m)-monotone operators, the approximation solvability of the operator equation problems and the convergence of iterative sequences generated by the algorithm are discussed. Our results improve and generalize the corresponding results in the literature.

下半连续函数的Proximal-次微分与广义中值定理

该文对定义在Hilbert空间E上的一般下半连续函数证明了如［9］中形式的逼近中值定理在Proximal-次微分意义下也成立．若E＝［a，b］R，则得到了不等式形式的中值定理．作为应用给出了函数凸性、Lipschitz性质及常数性质的Proximal-次微分刻划．

Existence and algorithm of solutions for a system of generalized mixed implicit equilibrium problems in Banach spaces

A new system of generalized mixed implicit equilibrium problems is introduced and studied in Banach spaces. First, the notion of the Yosida proximal mapping for generalized mixed implicit equilibrium problems is introduced. By using the notion, a system of generalized equation problems is considered, and its equivalence with the system of generalized mixed implicit equilibrium problems is also proved. Next, by applying the system of generalized equation problems, we suggest and analyze an iterative algorithm to compute the approximate solutions of the system of generalized mixed implicit equilibrium problems. The strong convergence of the iterative sequences generated by the algorithm is proved under quite mild conditions. The results are new and unify and generalize some recent results in this field.

2-致光滑且2-致凸Banach空间上的下半连续函数的Proximal次微分与广义中值定理

证明在 2 -致光滑且 2 -致凸 Banach空间 X上 ,一般下半连续函数的逼近中值定理在 Proximal次微分意义下也成立。

On Proximal Relations in Transformation Semigroups Arising from Generalized Shifts

For a finite discrete topological space X with at least two elements,a nonempty setГ,and a map p■is a generalized shift.In this text for■is bijective}we study proximal relations of transformation semigroups(S,X^(Г))and(H,XX^(Г)).Regarding proximal relation we prove:■is infinite■.Moreover,for infinite T,both transformation semigroups(S,X^(Г)and(H,XX^(Г))are regionally proximal,i.e.,■is finite.

利用邻近度与内容特征的用户识别方法

社交网络对用户拓扑结构进行了获取限制,使得利用结构特征进行识别的方法准确率大大下降。利用邻近度与内容特征的用户识别方法构建了一个融合属性特征、结构特征与内容特征的基于XGboost的半监督网络模型,将跨社交网络用户识别问题转换为二分类问题。针对无法获得完整用户拓扑结构与种子用户不足的问题,提出显式好友与隐式好友的提取方法,根据待匹配用户对好友网络中的显式匹配用户对、隐式匹配用户对与其他好友将好友网络融合,结合用户重要度改进LINE算法二阶邻近度的经验概率,获取待匹配用户对的结构特征;将用户发文时间序列特征、生成内容关键词重叠度特征与关注用户标签特征作为生成内容特征;最后将属性特征、结构特征与内容特征进行融合完成用户识别。在真实数据集上的实验证明了本方法的有效性。

偏序集上非自映射的最佳逼近点定理

给出广义收缩非自映射的概念,证明了该非自映射在偏序集上的最佳逼近点定理,并举例支持本文的研究结果.所得结果推广了相关文献的结论,尤其无偏序关系的距离空间中非自映射的最佳逼近点定理是本文结论的一个特殊情况.

鞘内注射舒芬太尼与芬太尼对高龄股骨粗隆骨折PFNA内固定术患者的镇痛效果及安全性对比

目的:对比鞘内注射舒芬太尼与芬太尼对高龄股骨粗隆骨折近端股骨钉抗旋(PFNA)内固定术患者的镇痛效果及安全性对比。方法:选取2019年1月—2022年12月于常熟市第五人民医院接受股骨粗隆骨折PFNA内固定术的108例高龄患者作为研究对象,根据随机数表法将患者分为研究组54例与常规组54例。研究组采用鞘内注射舒芬太尼,常规组采用鞘内注射芬太尼。比较两组手术时间、镇痛时间、术后6 h、12 h视觉模拟评分法(VAS)评分及不良反应发生情况。结果:两组手术时间比较,差异无统计学意义(P>0.05);研究组镇痛时间长于常规组,差异有统计学意义(P<0.05)。研究组术后6 h、12 h VAS评分低于常规组,且两组术后12 h VAS评分低于术后6 h,差异有统计学意义(P<0.05)。研究组不良反应发生率低于常规组,差异有统计学意义(P<0.05)。结论:相比芬太尼,舒芬太尼在高龄股骨粗隆骨折PFNA内固定术患者中的镇痛作用显著,能缓解术后疼痛,还可降低不良反应发生率。

超声引导下髂筋膜神经阻滞联合全身麻醉在老年股骨近端骨折患者中的应用效果

目的:探讨超声引导下髂筋膜神经阻滞联合全身麻醉在老年股骨近端骨折患者中的应用效果。方法:选取2021年1月-2023年1月于福建省第二人民医院进行治疗的80例老年股骨近端骨折患者作为研究对象,按照随机数表法将其分为对照组(常规全麻,40例)与观察组(超声引导下髂筋膜神经阻滞联合全身麻醉,40例)。比较两组麻醉效果、血流动力学、疼痛情况[视觉模拟评分法(VAS)、前列腺素E_(2)(PGE_(2))、血清P物质(SP)]。结果:观察组丙泊酚、瑞芬太尼用量较对照组少,拔管时间、苏醒时间较对照组早,差异有统计学意义(P<0.05);观察组气管插管时、手术开始5 min后、手术结束时平均动脉压较对照组高,心率较对照组低,差异有统计学意义(P<0.05);术后24 h,两组VAS评分及PGE_(2)、SP水平高于术后2 h,但观察组低于对照组,差异有统计学意义(P<0.05)。结论:老年股骨近端骨折患者采用超声引导下髂筋膜神经阻滞联合全身麻醉,可有效减少麻醉药物用量,缩短拔管、苏醒时间,稳定血流动力学,缓解疼痛。

Connections Between Induction Generator Effect and Open-loop Modal Proximity to Cause Sub-synchronous Oscillations in Series-compensated Power System

The induction generator effect(IGE)and the openloop modal proximity(OLMP)are two different reasons why subsynchronous oscillations(SSOs)in a series-compensated power system(SCPS)may occur.The IGE attributes the growing SSOs to negative resistance,while the OLMP explains the SSO mechanism from the standpoint of modal conditions.In this paper,we investigate the connections between the IGE and the OLMP through equivalent RLC circuit and open-loop modal analysis.Our investigation is conducted for two types of seriescompensated power systems where either a synchronous generator or a DFIG is connected at the sending end.The investigation reveals the conditions,in which the IGE and the OLMP may jointly cause the growing SSOs,i.e.,both the IGE and the OLMP can explain why the growing SSOs occur.Furthermore,the investigation indicates that the IGE and the OLMP may be totally irrelevant and lead to growing SSOs separately.This implies that it is possible that in a SCPS,the growing SSOs are only due to the IGE,and the OLMP is non-existent,and vice versa.Hence,when the growing SSOs occurs in a SCPS,examination based on both the IGE and the OLMP should be carefully conducted in order to find if the oscillatory instability is due to the IGE,or the OLMP,or both of them.

Systematic study ofαdecay half-lives within the Generalized Liquid Drop Model with various versions of proximity energies

It is universally acknowledged that the Generalized Liquid Drop Model(GLDM)has two advantages over otherαdecay theoretical models:introduction of the quasimolecular shape mechanism and proximity energy.In the past few decades,the original proximity energy has been improved by numerous works.In the present work,the different improvements of proximity energy are examined when they are applied to the GLDM for enhancing the calculation accuracy and prediction ability ofαdecay half-lives for known and unsynthesized superheavy nuclei.The calculations ofαhalf-lives have systematic improvements in reproducing experimental data after choosing a more suitable proximity energy for application to the GLDM.Encouraged by this,theαdecay half-lives of even-even superheavy nuclei with Z=112-122 are predicted by the GLDM with a more suitable proximity energy.The predictions are consistent with calculations by the improved Royer formula and the universal decay law.In addition,the features of the predictedαdecay half-lives imply that the next double magic nucleus after ^(208)Pb is ^(298)Fl.

一种基于层接近度和分支距离函数的最优个体选择算法

文章针对目前最优个体评价及选择时存在的问题,在综合分析层接近度和分支距离函数特点的基础上,提出一种层接近度和分支距离函数联构的测试用例评价算法。该算法的基本思路是,在进化过程中选择领航个体时,先选择实际执行路径与目标路径接近度高的个体,再在这些个体集中选择分支距离最小的个体,从而得到领航能力最优的个体。实验结果表明,所提算法能快速寻优到测试用例,尤其是针对多层嵌套程序的测试用例,生成表现良好。

Approximation of generalized fuzzy system to integrable function

A generalized fuzzy system by which many fuzzy models in application are extended is defined. By the approximation of the generalized Takagi-Sugeno(T-S) system to the piecewise linear function with Lp(μ)-norm, it is shown that the generalized T-S system is the universal approximator to p-integrable functions. With the given degree of accuracy, the fuzzy rule number needed in the fuzzy rule base of the system is estimated. Finally some simulation examples are given to demonstrate the conclusions.

Viscosity Approximations by Generalized Contractions for Resolvents of Accretive Operators in Banach Spaces

In this paper, we prove a strong convergence theorem for resolvents of accretive operators in a Banach space by the viscosity approximation method with a generalized contraction mapping. The proximal point algorithm in a Banach space is also considered. The results extend some very recent theorems of W. Takahashi.

基于约束D-TIN的等高线簇与河网协同综合方法

传统制图综合中针对水系、地貌等不同地理要素的分治策略,往往导致综合后要素目标之间在空间与语义上的冲突。考虑地形与河流之间的空间依赖性,提出一种等高线簇与河网协同的制图综合方法,即利用两种要素目标顶点在约束D-TIN描述下的空间邻近关系,并通过提取和组织谷地等高线弯曲段数据,构建两要素有效协同关系。在此基础上将等高线按所属地形区域划分为不同区段,然后根据河网层次化选取的结果,分别进行针对性的协同化简,确保综合后各条河流仍处于地形谷底位置。试验证明,该方法可有效避免综合后等高线与河流之间的相互冲突,提升制图综合的智能化程度。

三代微光像增强器分辨力计算理论模型

分辨力和传递函数MTF是微光像增强器的2个重要参数。长期以来,人们对于三代微光像增强器阴极发出的电子初能量分布没有统一的认识,从而没有一个公认的分辨力和MTF计算模型。通过理论分析和假设,给出一定条件下一个分辨力计算模型。把实际测得的第一近贴距、第二近贴距、阴极电压和荧光屏电压等数值代入分辨力计算模型中,可以得到分辨力理论值。经与实际测量值进行比对,发现二者偏差值在12.3%以内,此理论模型基本符合实际需求。该分析方法和所得结果有一定实用价值,可作为设计三代微光像增强器的技术参考。

局部化的广义特征值最接近支持向量机

基于广义特征值的最接近支持向量机(Proximal Support Vector Machine via Generalized Eigenvalues,GEPSVM)是一种新的具有与SVM性能相当的两分类方法,通过求解广义特征值来获得两个彼此不平行的拟合两类样本的超平面.其决策是将测试样本归为距其最近的超平面所在的类.然而,该规则在某些情形会导致较差的分类结果.对此,在GEPSVM基础上,通过在类拟合超平面上寻找一个包含了所有训练样本投影的局部凸区域,来决定样本的类别.该局部方法不仅具有较GEPSVM更优的分类性能,同时还衍生出了求解超平面上凸壳的简单且易于核化的新算法.最后在人工和UCI数据集上获得了验证.

移位安全区约束下的建筑物群移位免疫遗传算法

对于采用启发式或群智能搜索的组合最优化移位算法,地图要素空间关系与空间分布特征的保持是一个难题。本文基于免疫遗传算法提出一种移位安全区约束下的建筑物群最优化移位方法。该方法将建筑物群的移位问题定义为一个多目标最优化问题,然后采用免疫遗传算法搜索最优解。为了尽量保持建筑物群的空间关系和总体分布特征,避免出现拓扑错误,采用Voronoi图和缓冲区构建每个建筑物的移位安全区,以限定建筑物的移位范围;同时,采用建筑物群组整体移位策略,保持局部空间分布模式。最后,以北京市某部分街区建筑物群的移位为例验证改进算法的有效性,结果表明所实现算法能够在解决邻近冲突的同时,较好地保持地图目标间的空间关系和空间分布特征。