论文标题
关于通过三角形和多边形结构保留度量条件的函数的表征
On characterization of functions preserving metric-type conditions via triangular and polygonal structures
论文作者
论文摘要
在我们以前的论文中的思想列车之后，我们通过进一步使用所谓的三角三角三角体来进一步发展对某些财产保护函数的表征，重新审视了Pongsriiam和术语Wuttipong的定理。我们为更广泛的公制空间开发了更一般的分离总和诱饵类似物，并将其应用于borsìkanddoboš以及Khemaratchatakumthorn和Pongsriiam获得的结果。作为副产品，我们获得了非公制的非平凡和无限强$ b $ mmetric空间的方法。
Following the train of thought from our previous paper we revisit the theorems of Pongsriiam and Termwuttipong by further developing their characterization of certain property-preserving functions using the so-called triangle triplets. We develop more general analogues of disjoint sum lemmas for broader classes of metric-type spaces and we apply these to extend results of Borsìk an Doboš as well as those obtained by Khemaratchatakumthorn and Pongsriiam. As a byproduct we obtain methods of generating non-trivial and infinite strong $b$-metric spaces which are not metric.
