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1.
在Hilbert空间中,引入并研究了一类新的关于A-单调算子的广义变分包含组问题,利用不动点定理证明了这类广义变分包含组解的存在性和唯一性,并且利用A-单调映像的预解算子技巧研究了这类变分包含组解的迭代算法逼近,及由算法生成的迭代序列的收敛性。  相似文献   

2.
讨论一类含极大η-单调算子的广义非线性混合似变分包含组的迭代算法.依据不动点理论和极大η-单调算子的预解算子技巧,提出了一种求这类变分不等式组的逼近解的新的扰动迭代算法,证明了这类算法的收敛性和稳定性,并推广和统一了近期文献中的一些相关结论.  相似文献   

3.
首先回顾了与变分包含问题相关的一些基本概念。然后介绍H-单调算子的概念,接下来考虑一类带有H-单调算子的变分包含问题,该类变分包含问题可以涵盖前人研究过的几类变分问题和变分不等式问题,从而表明该类问题是已研究问题的有效推广深入研究。接下来笔者给出了预解算子的概念,并利用该概念进一步建立了变分包含问题与某个不动点问题的等价性。这种等价性允许使用预解算子技巧提出一种新型的Man迭代算法。最后对算法的收敛性进行了分析,在所给定理条件下,利用文献[3]中被广泛应用的一个引理,不仅可以证明这类变分包含问题存在唯一解,而且可以保证所提的新型Man迭代算法最终强收敛到原问题的唯一解。  相似文献   

4.
在Hilbert空间中引入了一类非线性变分不等式,建立了这类非线性变分不等式近似解的扰动迭代算法,证明了此类非线性变分不等式解的存在性和唯一性,并讨论了由该迭代算法所产生的迭代序列的收敛性.  相似文献   

5.
在Hilbert空间中引入并研究了一类涉及广义极大单调映象的集值变分包含问题.利用预解算子技巧构造这类变分包含解的迭代逼近算法,证明了解的存在性以及由算法生成的迭代序列的收敛性.  相似文献   

6.
设H为实Hilbert空间,A:H→H为强单调有界Lipschitz算子. Brezis提出了一种迭代算法逼近算子方程Ax=f之唯一解, 其中f∈H任意取定.指出了Brezis迭代算法及其收敛性证明中的一个错误,给出了正确的迭代格式以及收敛性证明,并把所得结果推广应用于变分不等式解的迭代算法.  相似文献   

7.
在Hilbert空间中,利用投影算法的收敛性来研究变分不等式组解的逼近已较广泛.但这个问题在Banach空间的研究却相对较少,主要原因是在Banach空间中投影映射缺少某些良好性质.运用广义f-投影算子,建议和分析了一类计算广义变分不等式组的近似解的迭代算法,在一致光滑和一致凸Banach空间中的一定条件下,建立解的存在性以及由算法生成的迭代序列的强收敛性定理.  相似文献   

8.
含H-单调算子的广义变分包含   总被引:6,自引:0,他引:6  
在Hilbert空间中引入并研究了一类新的含H-单调算子的广义变分包含问题.利用方和黄关于H-单调算子的预解算子方法,得到了这类含H-单调算子的广义变分包含问题解的存在性和唯一性,发展了逼近唯一解的Mann迭代算法.  相似文献   

9.
应用预解算子方法,引入和研究了Hilbert空间中一类新的关于极大η-单调映象的广义变分包含,用预解算子方法构造了这类变分包含解的迭代算法,并给出了由此迭代算法生成迭代序列的收敛性分析。  相似文献   

10.
在序Banach空间中,引入和研究了带算子的广义混合序变分不等式组.应用序Banach空间理论和矩阵分析方法,给出了其不等式组解的存在性定理,并基于序B-限制增生映象,给出了求解不等式组的迭代算法,迭代序列的收敛性和逼近解.  相似文献   

11.
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.  相似文献   

12.
何延凌 《科技信息》2008,(4):258-258
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.  相似文献   

13.
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。  相似文献   

14.
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.  相似文献   

15.
正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-  相似文献   

16.
We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-  相似文献   

17.
正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that  相似文献   

18.
<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with  相似文献   

19.
20.
<正>"Journal of Jilin University(Science Edition)"is a comprehensive academic journal in the fields of science sponsored by Jilin University and administrated by the Ministry of Education of the Peoples Republic of China.The journal started publication in 1955.The original name at starting publication was"Journal of Natural Science of Northeast People University",which was changed into"Acta Scientiarum Naturalium Universitatis Jilinensis"in 1958 owing to the name change of the university.The present journal name has  相似文献   

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