关于拟压缩的可能推广
On possible generalisations of quasi-contractions
摘要：
本文研究了Cirðc在[1]中提出并由Kumam等人在[2]中推广的度量空间上拟压缩的一些不动点定理是否可以进一步改进。事实证明，答案是否定的。我们给出了两个完全度量空间和两个无不动点的算子的例子。我们证明了，对于任何可能的广义拟压缩条件的简单放松，这些运营商满足的条件。
英文摘要：
This paper investigates whether some fixed point theorems for quasi-contractions on metric spaces introduced by Cirìc in [1] and generalised by Kumam et al. in [2] can be improved further. It turns out that the answer is negative. We provide two examples of complete metric spaces and two operators without fixed points. We prove that for any possible straightforward relaxation of generalised quasi-contractive conditions, one of these operators satisfies the condition.
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