关于P-压缩算子与Picard算子的短注
A Short Note on $P$-Contractive and Picard Operators
AI总结:
本文针对Altun和Hancer提出的紧度量空间上连续P-压缩自映射是否必为Picard算子的问题,结合现有结果与紧性论证给出肯定回答。
AI中文摘要:
Altun和Hancer证明了紧度量空间上每个连续P-压缩自映射都是几乎Picard算子,并询问其是否必为Picard算子。我们给出肯定回答,证明结合现有结果与最终紧性论证得到。
英文摘要:
Altun and Hancer \cite{AltunHancer2019} proved that every continuous \(P\)-contractive self-map of compact metric space is an almost Picard operator, and asked whether it must in fact be a Picard operator. We give an affirmative answer. The proof follows by combining the existing results with a final compactness argument.