论文标题
$ \ lim $ - 空格中的固定集和固定点{固定的集合和固定点，用于广义$ \ lim $的映射 - fréchet的空格
Fixed sets and fixed points in $\Lim$--spaces]{Fixed sets and fixed points for mappings in generalized $\Lim$--spaces of Fréchet
论文作者
论文摘要
在本文中，我们讨论了在某种情况下实施众所周知的收缩映射定理的著名证据方案的可能性，当时是在公理上定义了收敛，凯奇序列的家族和映射的收缩率。我们还考虑使用具有距离的函数来指定Cauchy序列和收缩性条件的家庭，并在某些部分有序的集合中具有值，并建立固定的集合和点定理，以供Irić和Caristi类型的广义收缩。
In this article we discuss a possibility to implement a well-known scheme of proof for contraction mapping theorems in a situation, when convergence, families of Cauchy sequences, and contractiveness of mappings are defined axiomatically. We also consider ways to specify families of Cauchy sequences and contractiveness conditions using distance-like functions with values in some partially ordered set and establish fixed set and point theorems for generalized contractions of the Ćirić and Caristi types.
