一致凸空间

This paper proves that every probabilistic contraction map from E to E has a unique fixed point, where E is a complete and uniformly local semi-convex probabilistic normed spacer and obtains a fixed point theorem in metric linear spaces.

摘要证明了完备的一致局部半凸概率赋范空间上的概率压缩映象必有唯一不动点，得到了一类度量线性空间中关于伪范数族一致压缩映象的不动点定理。

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

This paper studied the iterative approximation problem of fixed points for asymptotically quasi-nonexpansive type mappings with mixed errors in uniformly convex Banach space.

研究了一致凸Banach空间中渐近拟非扩张型映象不动点具混合误差的迭代逼近问题，改进和推广了相关文献的结果。

This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for set-valued nonexpansive mapping in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point.

讨论了δ集值非扩张映象在一致凸Banach空间中不动点非空的充分必要条件与Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件，所得结果是单值非扩张映象的推广和发展。

As an immediate corollary, it is shown that strict convexity and uniformλproperty are equivalent in these spaces.

作为推论，本文证明了在广义Lebesgue空间中严格凸性和一致λ性质是等价的。

In this paper, the problem of an iterative sequence approximation a common fixed point for nonexpansive non-self mappings is studied in real uniformly convex Banach space, then we obtain a strongly convergence theorem.

在实一致凸Banach空间中，讨论了关于非扩张非自映射序列逼近公共不动点的问题，获得了一个强收敛定理，改进和推广了现有文献的一些相应结果。

The objective of Chapter 2 is to give the weak convergence theorem of S ={T1 :t E G of asymptotically nonexpansive mappings in a uniformly convex Banach space without assuming that X has a Frechet differentiable norm.

本文第二章在G仅要求是一个定向网，X为不具有范数Frechet可微条件的一致凸Banach空间的情况下，给出了一族渐近非扩张映射的弱收敛定理。

In the fourth part, we study the growth velocity of q-mean square function of trigonometric martingales, using these we characterize TP q-uniformly convex of the space.

第四部分研究了q均方函数的增长速度与q一致TP可凸性的关系，从而用它们刻划了Banach空间的q一致TP可凸性。

In the third part,we study the growth velocity of q-mean square function of martingales , using these we characterize q-uniformly TC convex Banach space.

第三部分研究了q均方函数的增长速度与q一致TC可凸性的关系，从而用它们刻划了Banach空间的q一致TC可凸性。

In the second part, we give the relationships between some inequalities of trigonometric martingales with values in Banach space and TP uniform convexity of the space. So we characterize the TP q-uniformly convex of the Banach space by inequalities of trigonometric martingales with values in Banach space.

第二部分研究了取值于Banach空间的一类特殊而义具体的鞅-—三角鞅，三角鞅不等式与该空间的q一致TP凸性的关系，从而用三角鞅不等式刻划了空间的q一致TP可凸性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。