LI Linxin,WU Dingping.Some Results on Chatterjea Type Nonexpansive Mapping with Additional Conditions[J].Journal of Chengdu University of Information Technology,2021,36(05):576-579.[doi:10.16836/j.cnki.jcuit.2021.05.017]
关于带有附加条件的Chatterjea类型非扩张映射的一些结果
- Title:
- Some Results on Chatterjea Type Nonexpansive Mapping with Additional Conditions
- 文章编号:
- 2096-1618(2021)05-0576-04
- 关键词:
- Chatterjea型; 渐进正则; 不动点; 非扩张映射
- 分类号:
- O177.92
- 文献标志码:
- A
- 摘要:
- 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Chatterjea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。
- Abstract:
- 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.
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备注/Memo
收稿日期:2021-03-09
基金项目:四川省科技计划资助项目(2018JY0169)