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By using generalized-weak commutativity mapping, the existence of common fixed point for this class of contractive type mappings is studied in complete metric space, a common fixed point theorem for contractive type mappings is obtained, which largely improve and extend the corresponding results in some references.

通过使用映象的广义弱交换条件,在完备度量空间中研究了更为广泛的一类压缩型映象的公共不动点的存在性,给出了一个新的公共不动点定理,从而在很大程度上改进和推广了现有文献中的一些结果。

In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章,首先给出Frigon不动点定理[3]的推广及其简洁证明,同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答;然后,通过引入φ函数,在度规空间上建立集值φ-压缩映射的不动点定理,统一并推广了Cain和Nashed[1],Figon[3],Espinola和Kirk[4],Tarafder[5]等的相应结果。

We also introduce and study a new system generalized nonlinear variational inclusions for fuzzy mappings in Hilbert space.

我们利用极大单调映象的预解算子技巧,建立了这类模糊映象的变分包含组与非线性集值映象的不动点问题之间的等价关系,再利用Nadler的不动点定理给出了这类变分包含组的解的存在性定理。

The fix point of solutions and the derivatives of solutions of comples meromorphic function coefficents higher order of comples homogeneous linear differenliad equations are studied,and get two results of fixed point of homogeneous higher order linear differenliad equations with Meromorphic Function Coefficents,the results obtained generalize the related results of some authors.

研究了复域线性微分方程的解及其解的导数的不动点与超级问题,得到了亚纯函数系数的齐次线性微分方程的解及其解的导数的不动点的一个结果,所得结果推广了一些相关结果。

Among many directions of the fixed point researches, it becomes main problem that the convergence problem about making approximating fixed point sequences and its application in control, nonlinear operator and derivative equation etc. The research of this problem will play an important role in its application in reality.

在不动点问题研究的众多方向中,关于构造渐近不动点序列的迭代收敛问题以及其在控制、非线性算子和微分方程等方面的理论结合及应用成为研究的主流问题,对这方面问题的研究会在实际运用中起到至关重要的作用。

This paper sets up the fixed point theorems for cone stretching or compression and more extensive fixed point theorems for cone stretching or compression in their normal forms on the condensing mapping.

本文建立凝聚映象的锥拉、压不动点定理和更为广泛的范数形式凝聚映象的锥拉、压不动点定理以及对非锥映象的表现形式,然后利用所得的结果来研究凝聚算子的固有值的全局特征和算子方程的非零解并用到YpbIcoH算子上。

By applying a fixed pointed theorem for condesing maps, the sufficient conditions of controllability are given. This method is based on integral expression of solutions, the problem can be converted info fixed point problem of single-valued integral operators.

利用凝聚映射的不动点定理给出了一类发展包含的可控性的充分条件,处理问题的方法是基于解的积分表示,将所讨论的问题转化为集值积分算子的不动点问题。

Suppose there exist a strictly increasing function Φ: 0,∞→

若存在严格增加函数Φ:[0,∞]→0,∞,Φ(0)=0,jx(下标 n+1-x∈Jx(下标 n+1-x使得〈T(上标 n-1)x(下标 n+1)-T(上标 n-1)x, jx(下标 n+1-x〉≤k‖x(下标 n+1)-x‖^2-Φ‖x(下标 n+1-x‖,n≥1,x是T的不动点,在对参数的一些限制条件下,本文证明了迭代序列{x}强收敛于非自映象T的不动点x,其目的是把对渐近伪压缩映象的迭代结果推广到渐近伪压缩非自映象上,从而推广了以前的结果。

Results In lead poisoning group, the pathological changes in genital glands of mice were obtained; sperm count, linear movement sperm and live sperm rate decreased; the elevated motionless sperm, cacospermia and primary spermatocyte chromosome aberration rate were found. In Haierfu group, the pathological changes in genital glands of mice ameliated to different degree, sperm count, linear movement sperm and live sperm rate elevated, and motionless sperm, cacospermia and primary spermatocyte chromosome aberration rate decreased.

结果 醋酸铅染毒组雄性小鼠的生殖腺有不同程度的病理学改变,精子计数、直线运动精子数、活精子率下降,而静止不动精子数、精子畸形率和初级精母细胞染色体畸变率升高;海尔福治疗组小鼠的生殖腺病理学改变有不同程度的改善,精子计数、直线运动精子数、活精子率有所升高,而静止不动精子数、精子畸形率和初级精母细胞染色体畸变率有所降低。

YAA at amino acid level.

从实验室保存的一株能高效降解苯胺的不动杆菌中克隆到完整的苯胺双加氧酶基因簇,序列分析表明该基因簇包含6个完整的ORF,全序列与已报道的不动杆菌YAA的苯胺双加氧酶基因簇在氨基酸水平上有较高的同源性。

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