关于带有附加条件的Chatterjea类型非扩张映射的一些结果

Some Results on Chatterjea Type Nonexpansive Mapping with Additional Conditions

比较Reich型非扩张映射、Chatterjea型非扩张映射和(c)映射,得到一些结论。在0<c≤b这个假设的前提下,证明了C hatterjea型非扩张映射是渐近正则的,并且在UCED Banach空间中,Chatterjea型非扩张映射具有一个不动点。最后,证明了Chatterjea型非扩张映射在轨道上是连续的也是k-连续的。

In this paper,we compare Reich type nonexpansive mapping,Chatterjea type nonexpansive mapping and(c)-mapping,and draw some conclusions.Under the premise of 0<c≤b,we prove that the Chatterjea type nonexpansive mapping T is asymptotically regular and in a UCED Banach space,the Chatterjea type nonexpansive mapping T has a fixed point.Finally,we also find that the Chatterjea type nonexpansive mapping T is orbitally continuous and k-continuous on orbits.