关于$b_v(s)$ -度量空间中的压缩映射
On contractive mappings in $b_v(s)$-metric spaces
摘要：
本文的主要目的是研究不同类型的压缩映射，并回答Garai等[The compressive principle for mappings in $b_v(s)$ -度量空间，arXiv：1802.03136]中的一个公开问题.本文首先在$b_v(s)$ -度量空间中建立了两类压缩映射的不动点定理，然后对这一问题给出了肯定的回答。最重要的是，我们利用一类压缩映射的不动点性质刻画了$b_v(s)$ -度量空间的完备性。我们的结果推广和推广了文献中的几个重要结果。
英文摘要：
The major motives of this paper are to study different types of contractive mappings and also to answer an open question of Garai et al. [The contractive principle for mappings in $b_v(s)$-metric spaces, arXiv:1802.03136]. We first set up some fixed point results associated with two types of contractive mappings in $b_v(s)$-metric spaces and then we give an answer, in positive, to the open question. Most importantly, we characterize the completeness of a $b_v(s)$-metric space via fixed point property of a certain type of contractive mappings. Our results extend and generalized several important results in the literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
