论文标题
在$ b_v（s）$ - 公制空间中的收缩映射上
On contractive mappings in $b_v(s)$-metric spaces
论文作者
论文摘要
本文的主要动机是研究不同类型的收缩映射，并回答Garai等人的开放问题。 [$ b_v（s）$ - 公制空间中的映射的合同原理，arxiv：1802.03136]。我们首先设置了与$ b_v（s）$ - 公制空间中两种类型的承包映射相关的一些固定点结果，然后我们以积极的态度给出答案。最重要的是，我们通过某种类型的承包映射的固定点属性来表征$ b_v（s）$度量空间的完整性。我们的结果扩展并概括了文献中的几个重要结果。
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.
