Viscosity approximation with weak contractions for fixed point problem,equilibrium problem,and variational inequality problem

This paper proposes a modified iterative algorithm using a viscosity approximation method with a weak contraction.The purpose is to find a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of a finite family of equilibrium problems that is also a solution to a variational inequality.Under suitable conditions,some strong convergence theorems are established in the framework of Hilbert spaces.The results presented in the paper improve and extend the corresponding results of Colao et al.（Colao,V.,Acedo,G.L.,and Marino,G.An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings.Nonlinear Anal.71,2708–2715（2009））,Plubtieng and Punpaeng（Plubtieng,S.and Punpaeng,R.A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces.J.Math.Anal.Appl.336,455–469（2007））,Colao et al.（Colao,V.,Marino,G.,and Xu,H.K.An iterative method for finding common solutions of equilibrium problem and fixed point problems.J.Math.Anal.Appl.344,340–352（2008））,Yao et al.（Yao,Y.,Liou,Y.C.,and Yao,J.C.Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings.Fixed Point Theory Application 2007,Article ID 64363（2007）DOI 10.1155/2007/64363）,and others.     

新型N-甲基-N-(2-溴苯基)-2-取代基-2-氰基酰胺的合成

以2-溴苯胺和氰乙酸为原料,经N-烷基化、酰胺化和α-烷基化反应合成了4种新型的N-甲基-N-(2-溴苯基)-2-取代基-2-氰基酰胺类化合物(5a~5d),其结构经1H NMR,13C NMR和HR-MS表征。在最佳反应条件[N-甲基-N-(2-溴苯基)-2-氰基乙酰胺(3)1.7 mmol,n(3)∶n(溴乙烷)=1∶1,DMF为溶剂,Cs2CO3为碱,于室温反应6 h]下,5a收率83%。     

Effect of Different Energy Sources on Ochrobactrum anthropi Bacteria Chromium Reduction

Ochrobactrum anthropi CTS-325 isolated from a chromium-contaminated site had better resistance to Cr(Ⅵ) in LB medium under aerobic condition.Meanwhile,it was found that the reduction of Cr(Ⅵ) is not complete during the experimental process.Therefore,a series of small molecule energy sources including nitrogen and carbon sources were added into the LB medium in the bacterial stationary phase to promote the chromium reducibility.The result showed that the bacterial growth was positively correlated with the chromium reduction.SDS-PAGE analysis indicated that the protein groups were changed when the bacteria were stimulated by the chromium.Additionally,it was revealed that O.anthropi CTS-325 could utilize the cheaper alternative of sugar(sucrose residue leaching solution) well for further growth and restart the chromium reduction,which offered a new method for practical appli-cations.     

HgS/CdS/HgS球状纳米系统电子的能量与寿命以及概率分布

建立了HgS/CdS/ HgS球状纳米系统物理模型和电子状态满足的方程.应用S矩阵理论，探讨了 s态电子的能量和寿命以及概率分布随势垒和势阱宽度的变化规律.结果表明：电子能量和寿 命随垒势宽度增大而增大；电子能量随阱宽增大而减小，而寿命随阱宽增大而增大；层间相 互作用对结果有重要影响. 关键词： 球状纳米系统 电子能量和寿命 电子概率分布 势垒势阱宽度     

多孔硅蓝光发射与发光机制

在制备出光致发光能量为２．７ｅＶ的发射蓝光多孔硅的基础上对它进行了较系统的研究：测量了它的光致发光时间分辨光谱，用傅里叶交换红外光谱分析了其表面吸附原子的局域振动模，研究了γ射线辐照对其发光的影响，并与发红、黄光的多孔硅作了对比，通过空气中长期存放、激光和紫外线照射的方法，研究了光致发光峰能量为２．７ｅＶ的多孔硅发光稳定性．我们及其它文献中报道的多孔硅蓝光发射的实验结果与量子限制模型矛盾，但能用量子限制／发光中心模型解释．我们认为多孔硅的２．７ｅＶ发光是多孔硅中包裹纳米硅的ＳｉＯ_x层中某种特征发光中心引起的． 关键词：     

干气密封推环用弹簧蓄能密封圈工作特性研究

干气密封推环用密封圈关系到补偿环的浮动性和追随性. 通过建立弹簧蓄能密封圈的二维轴对称等效模型,对有、无凸台两种结构的弹簧蓄能密封圈,模拟了不同工况下的密封特性及摩擦特性. 研究表明:两种结构弹簧蓄能密封圈的峰值接触压力随介质压力、预压缩率的增加而增大,都具有良好的自紧密封特性. 推环微动时密封圈的摩擦力较大,不能忽略. 推环轴向微动时,有凸台结构与无台结构的弹簧蓄能密封圈表现出不同摩擦行为;无台弹簧蓄能密封圈,在推环沿±Z方向微动时,摩擦特性曲线相似. 而有凸台的弹簧蓄能密封圈,当推环沿Z方向微动时,分离距离更大;推环沿-Z方向微动时,具有更小的最大静摩擦力,且滑动摩擦力与最大静摩擦力差值较小,滑动平稳,有利于补偿环恢复到设计工作位置.      

一个使用负曲率方向的算法及其收敛性

对于无约束最优化问题: min f(x),x∈R~n (1)来说,牛顿法是一个古老而十分重要的方法。它的第一个改进形式是阻尼牛顿法。然而阻尼牛顿法仍然不能处理Hessian矩阵非正定的情形。进一步的改进措施大致可分为两类:强迫矩阵正定的策略和使用负曲率方向的策略。而如何更有效地使用这两种策略,已成为近年来对牛顿型算法研究的一个中心课题。这里应该特别提到的是FF方     

镍氢电池负极板中稀土的回收工艺研究

探讨了镍氢电池生产中产生的废镍氢电池负极板中稀土的回收工艺。镍钴与稀土的分离,采用无水硫酸钠沉淀稀土的方法。溶液中酸度、温度及无水硫酸钠用量为影响分离效果的主要因素。实验得到最佳值为:酸度1M,浓度为100g极板溶解为1000ml,其中镍含量在55～60g·L-1。无水Na2SO4投加量为理论量的2 9倍。该方法效果较好,能使90%以上的稀土沉淀,而镍、钴则留在溶液中。采用本实验方法回收镍氢电池负极板中的稀土后可进一步分离回收镍、钴、既有利于防止Ni对环境的污染,又能带来经济效益。