Fixed sets and fixed points for mappings in generalized $\rm Lim$-spaces of Fréchet

In the article, we axiomatically define generalized $\rm Lim$-spaces $(X,{\rm Lim})$, Cauchy structures, contractive mappings and prove an abstract version of the contraction mapping principle. We also consider ways to specify families of Cauchy sequences and contraction conditions using a base in $...

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Bibliografiske detaljer

Principais autores:	V.F. Babenko, V.V. Babenko, O.V. Kovalenko
Format:	Artigo
Sprog:	Inglês
Udgivet:	Vasyl Stefanyk Precarpathian National University 2023-06-01
Serier:	Karpatsʹkì Matematičnì Publìkacìï
Fag:	fixed point theorem family of cauchy sequences fréchet limit space
Online adgang:	https://journals.pnu.edu.ua/index.php/cmp/article/view/6200
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