1) Expansive type mapping
膨胀型映射
2) expansion operator
膨胀映射
1.
Some kinds of expansion operators were proposed and some fixed-point theorems for expansion operators were proved by WANG Shang-zhi.
王尚志给出了若干种膨胀映射的概念,并证明了它们的不动点存在定理。
3) expansion mapping
膨胀映射
1.
Wang Shangzhi, and so forth, defined three expansion mappings which correspond three contraction mappings and proved their fixed point theorems.
本文给出弱膨胀映射的定义,并证明了更一般的不动点存在定理,文[2]中三个不动点定理都是它的推论。
2.
The defines for three kinds of expansion mapping are given some characteristicsand several fixed point theorems for second kind of expansion mapping are discussed in thispaper.
本文论证了第二类膨胀映射的几点性质及不动点定理，特别是证明了在Ｂａｎａｃｈ空间中，第二类膨胀连续性和满性是等价的，从而推广了文献［１］的主要结论。
4) weak expansion mapping
弱膨胀映射
1.
In this paper, the weak expansion mapping is defined and its fixed point theorem is given.
本文给出弱膨胀映射的定义,并证明了更一般的不动点存在定理,文[2]中三个不动点定理都是它的推论。
5) nonexpansive mapping
非膨胀映射
6) asymptotically nonexpansive mapping
渐近非膨胀映射
1.
A theorem on weak convergence for asymptotically nonexpansive mappings is proved and the result of Passty is generalized.
讨论了具有Frechet可微范数的一致凸Banach空间上的渐近非膨胀映射序列的弱收敛性,推广了Passty的结果。
2.
In this paper, we consider the fixed point problems of asymptotically nonexpansive mappings on the weak compact or compact subset of the Banach space, and under some boundary conditions, proving that these mappings have fixed points.
本文考虑了Banach空间上有界弱紧子集及紧子集上的渐近非膨胀映射的不动点问题,在一定的边界条件假设下,证明了这类映射有不动
补充资料：膨胀映射
膨胀映射
dOatation mapping
膨胀映射晒.怕位犯“.脚娜毛:pae山“p，，山eec:oTo6-Pa狱e二el【补注】同膨胀(dihtation).扩张映射(expandingmaPPing)(在流形理论中的).级数的加稀【曲涌加成a，，如;pa36a.月e二ep朋a} 在一个级数的相邻两项之间加人任何有限个零.对于级数 艺。*，(*) k=0加稀的级数具有下列形式:uo+0+·”+0+“一+0+…+0+“2+·‘’.级数的加稀不影响级数的收敛性，但是可能会破坏级数的可和性(一个按某种求和法可和的、其和为s的级数，在加稀以后可能变成按这种求和法根本不可和的，或者虽然可和，但其和a不等于s).
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参考词条