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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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Principais autores: V.F. Babenko, V.V. Babenko, O.V. Kovalenko
Formato: Artigo
Idioma:Inglês
Publicado: Vasyl Stefanyk Precarpathian National University 2023-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
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Acceso en liña:https://journals.pnu.edu.ua/index.php/cmp/article/view/6200
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