非扩张映象带误差的Ishikawa迭代过程的收敛性

设D是赋范空间X的一子集,T:DX是一非扩张映射.给定D中序列{xn}和两个实数序列{tn}和{sn}满足: 0≤tn≤t<1和∑∞n=1tn=∞; 0≤sn≤1和∑∞n=1sn<∞; xn+1=tnT(snTxn+(1-sn)xn+vn)+(1-tn)xn+un,n=1,2,3,…,其中{un}和{vn}是两个在X中的可合序列,且limn→∞t-1n‖un‖=0.证明了若{xn}有界,则limn→∞‖Txn-xn‖=0.并给出了保证{xn}弱和强收敛到T的不动点时,关于D,X和T的条件.     

Banach空间上广义渐近拟非扩张型映象不动点的逼近

引入一类比渐近拟非扩张型映象更加广泛的广义渐近拟非扩张型映象,并给出具混合误差的Ishikawa迭代序列强收敛于广义渐近拟非扩张型映象的一个不动点的充要条件:设E是一Banach空间,T:E→E是广义渐近拟非扩张型映象,其渐近系数kn满足∑(kn-1)＜∞;若T在F(T)中的点处一致连续,任取一点x0∈E,{xn}是由下式定义的具混合误差的Ishikawa迭代序列{xn 1=(1-αn)xn αnTnyn un, ,yn=(1-βn)xn βnTnxn vn,n≥0其中{αn}、{βn}是[0,1]中的两个数列且∞∑n=0αn收敛,{un}、{vn}是E中两个点列且{vn}有界同时∞En=0‖un‖收敛.则{xn}强收敛于T在E中一个不动点的充要条件是lim inf D(xn,F(T))=0.     

有限簇L-Lipschitzian渐近伪压缩映象的收敛定理

E是一实Banach空间,K是E的一非空闭凸子集.设f:K→K是一压缩映象,T1,T2…,TN∶K→K是具序列{kn}[1,+∞),lim kn=1 n→∞的有限簇一致L-Lipschitzian渐近伪压缩映象,且∩F(Ti)≠Φ from i=1 to N.设序列{xn}定义为xn+1=(1-αn-βn)xn+αnf(xx)+βnTrnnyn yn=(1-γn)xn+γnTrnnxn,n≥0其中{αn},{βn},{γn}[0,1],rn=n mod N.文章在一定条件下,用黏性逼近法证明了迭代序列{xn}强收敛于T1,T2,…,TN的公共不动点.该文结果推广和改进了一些文献的最新结果.     

有限簇非扩张非自映象的黏性逼近

设E是一自反的Banach空间,具有E到E·的弱序列连续的正规对偶映象,K是E的非空闭凸子集而且是E的sunny非扩张收缩核.设f:K→K是一压缩映象,T1,T2,...,TN:K→E是一有限簇非扩张非自映象且∩Ni=1Fix(Ti)≠Ф.序列{xn}定义为xn+1=P(αnf(xn)+(1-αn)Tnyn),yn=P(βnxn+(1-βn)Tnxn), (A)n≥1,其中{αn},{βn}(∪)[0,1],P:E→K是一sunny非扩张保核收缩,Tn=Tn(modN).用黏性逼近方法证明了迭代序列{xn}强收敛于T1,T2,...,TN的公共不动点的充分必要条件,也推广和改进了一些文献的最新结果.     

关于相关数列极限的一个注记

设yn=c0 xn+c1 xn-1+…+ckxn-k,其中{xn}、{yn}是数列,k是正整数,当0≤j≤k时,存在某个j,使得k∑i=0 i≠j|ci|<|cj|成立,则limn→∞yn=A的充要条件为limn→∞xn=A/k∑i=0ci.从而推广了已有的研究成果.     

渐近非扩张映射的不动点三步迭代

设D是一致凸空间中的非空紧凸子集,T:D→是渐近非扩张映射且F(T)≠,kn≥1,∑∞n=1(kn-1)<∞,设{un},{u′n},{u″n}是D中有界序列,{an},{bn},{cn},{a′n}{b′n}{c′n}{a″n},{b″n},{c″n}是[0,1]中序列且满足:i)an+bn+cn=a′n+b′n+c′n=a″n+b″n+c″n=1;ii)b″n,b′n∈[a,b](0,1);bn∈[0,b];iii)∑∞n=1cn<∞,∑∞n=1c′n<∞,∑∞n=1c″n<∞.对x1∈D,定义:zn=anxn+bnTnxn+cnun;yn=a′nxn+b′nTnzn+c′nu′nn≥1;xn+1=a″nxn+b″nTnyn+c″nu″n则{xn},{yn},{zn}强收敛于T的不动点.     

Banach空间中关于增生算子方程解带误差的Ishikawa迭代序列

设X是任意实Banach空间,T:X→X是Lipschitz连续的增生算子,在没有假设∞∑n=0αnβn＜∞之下,证明了由xn 1=(1-αn)xn αn(f-Tyn) un及yn=(1-βn)xn βn(f-Txn) vn,(A)n≥0生成的、带误差的Ishikawa迭代序列强收敛到方程x Tx=f的唯一解,并给出了更为一般的收敛率估计:若un=vn=0,(A)n≥0,则有‖xn 1-x*‖≤(1-γn)‖xn-x*‖≤…≤n∏j=0(1-γj)‖x0-x*‖,其中{yn}是(0,1)中的序列,满足γn≥[1/2max{η,1-η}-1/4min{η,1-η}]αn,(A)n≥0.     

非线性强增生算子方程解的迭代逼近定理

设1〈P≤2,X是实P-一致光滑的Banach空间,T：X→X是强增生算子．研究了用带误差的Ishikawa迭代程序：（xn＋1）=（1-αn）xn＋αn（f-Tyn＋yn）＋un, yn=（1-βn）xn＋βn（f-Txn＋xn）＋υn,n≥0,）来逼近方程Tx=f解的问题,其中x0∈X,｛un｝｛υn｝是X中的有界序列,｛αn｝,｛βn｝,是[0,1]中的实数列．在无需假设条件αn→0之下,证明了,当T连续时,迭代序列{xn}强收敛到方程Tx=f的唯一解。     

Banach空间中m增生映射零点的带误差项的迭代格式

令E为实一致光滑Banach空间,A:D(A)=E→2E为m增生映射,z∈E为任意元,0∈R(A).序列{xn}D(A)定义为xn+1=xn-λn(un+θn(xn-z)+en),其中un∈Axn,n≥1,这里{λn}和{θn}为满足一定条件的正实数列,则xn→x*∈A-10.本质上将Chidume和Zegeye关于m增生映射零点的精确迭代格式推广为带误差项的形式.     

例谈运用均值代换解题技巧

均值代换是一种易于理解的解题方法 ,它能使解题过程简明流畅 ;但是构造恰当的“均值代换”需要技巧 ,以下列举数例说明这种代换的一般作法。一、在数列中 ,当有 xn yn=2 f(n)时 ,可设 xn=f(n) tn,yn=f(n) -tn,或 xn=f(n) (1 tn)yn=f(n) (1-tn)例 1　已知数列 { an}中 ,a1 =3,an 1 =an22 (an-1) ,(n≥ 1) ,求数列的通项 an。解 :由递推式得　an2 2 an 1 =2 anan 1　　设　 an2 =anan 1 (1 tn) 1　　　　　　　　　　　　　　 2 an 1 =anan 1 (1-tn) 2　　　　　　　　　　由 1得　 an=an 1 (1 tn) 3　　　　　　　　　　由 2…     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

橡胶颗粒沥青混合料低温抗裂性试验研究

以AC-13级配为基础,将橡胶颗粒代替部分集料掺入混合料中,以低温弯曲试验为评价方法对不同橡胶颗粒掺量下沥青混合料的低温抗裂性进行研究,并引入应变能密度值对混合料的低温抗裂性进行综合评价.试验结果表明:橡胶颗粒沥青混合料试件的破坏微应变均超过2 300,满足冬寒区的技术指标;无论是否掺加橡胶颗粒,随着温度的下降,沥青混合料破坏时的最大弯拉强度增大,弯拉应变降低,劲度模量增大;弯曲应变能密度在胶粒掺量为1%左右时具有较大的弯曲应变能密度值,此时橡胶颗粒沥青混合料具有较好的低温抗裂性.     

A computer generator for randomly layered structures

AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.