Based on some results given by K Tan and H K Xu[1] proved, the convergence of three-step iterations of uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space had proved.
引入一致李普希兹的概念，然后在一些已有结果的基础上，证明一致凸Banach空间的紧子集上的一致李普希兹渐进非扩张映射的三步迭代序列的收敛问题。
Xu and Noor had proved the theorem on convergence of three-step iterations for asymptotically nonexpansive mapping on nonempty closed, bounded, and convex subset of uniformly convex Banach space.
王娴 ，何震Xu和Norr已经证明了建立在一致凸Banach空间的一个非空有界闭凸子集上的渐进非扩张映射的三步迭代的收敛定理问题。
Using geometric properties to deal with the fixed point property of nonexpansive mapping in Banach spaces have being highly develpmented since Kirk proved that a Banach space with normal structure have weak fixed point property in 1965.The paper will divided five parts, the contents is following.
A.Kirk证明具有正规结构的Banach空间具有弱不动点性质[10]以来，利用Banach空间的空间性质研究非扩张映射的不动点性质得到了迅速的发展。
A convergence of Ishikawa iteration sequence with errors is investigated in this paper for asymptotically nonexpansive mapping in uniformly convex Banach spaces.
特别讨论了积空间中渐近非扩张映射的不动点问题，研究了某些非扩张映射迭代序列在特定条件下的收敛性问题。
Convergence theorem of asymptotically quasi-nonexpansive mapping by three-step iterative sequence
渐近拟非扩张映射的三步迭代序列的收敛定理
Iteration Method of Fixed Points for Quasi - φ - Asymptotically Nonexpansive Mapping in Banach Space
Banach空间中拟φ-渐近非扩展映像不动点的迭代算法
In the primary theorems about common fixed points and the best approximation on the weakly compact set, it was assumed that the affine mapping I was strongly (or weakly) continuous when T was I-nonexpansive.
在已有的弱紧集上的公共不动点与最佳逼近定理中，当T是I非扩张时，一般都假设仿射映射I是强（或弱）连续的。
Studying the ishikawa iterative approximation problem with errors for fixed points of asymptotically nonexpansive and asymptotically pseudo-contraction mapping in Banach spaces. The results in this paper improve and extend the corresponding results in the literatures of (1, 2, 3, 4).
研究了Banach空间中渐近非扩展映象和渐近伪压缩映象不动点的带误差的Ishikawa迭代逼近问题，结果不但推广和改进了文献〔1,2,3,4〕中相应的结果，而且也改进了定理的证明方法。
Strong Convergence Theorem for a Generalized Equilibrium Problem and a Relatively Nonexpansive Mapping in a Banach Space
Banach空间中的广义平衡问题和相对非扩张映象的强收敛定理
Convergence and Existence of Fixed Points of Set-valued Nonexpansive Mapping
集值非扩张映象不动点存在与收敛性
In strictly convex Banach space, there F (T) is set of coupled fixed points of T for nonexpansive mapping, then F (T) is (closed convex set.
在严格凸Banach空间中，研究可点值化集值非扩张映象T的耦合不动点集F（T）的闭凸性。
This paper deals with fixed point problems for set-valued mappings of nonexpansive type, two fixed point theorems about self-mapping and nonself-mappin are given in locally convex space.
本文讨论局部凸线性拓补空间非扩张型集值映射的不动点问题，并给出关于单值映射族具有公共不动点的结果。
Random Fixed Point Theorems of Nonexpansive Random Semiclosed 1-set Contractive Mapping Around a Constant Point in Banach Space
Banach空间中定点非扩张随机半闭1-集压缩映象的随机不动点定理
Xu and Noor [5]] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.
之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。
In this paper, we approximate fixed point of asymptotically nonexpansive mapping T on a closed, convex subset C of a uniformly convex Banach space. Our argument removes the boundedness assumption on C, generalizing theorems of Liu and Xue.
本文研究了在一致凸Banach空间中定义在闭凸集C上渐近非扩张映象T不动点的迭代问题，我们的讨论去掉了在刘和薛[2]中C是有界的假设。
By using a new method, some iterative approximation problems of fixed points for asymptotically nonexpansive mapping in Banach spaces were studied, and the boundedness assumption of domain and range was droped.
用新方法研究了Banach空间中渐近非扩张映像不动点的迭代逼近问题，去掉了定义域和值域的有界性假设。