Contraction map sets with an external factor and weakly fixed points

2023/09/13 by Zhelinski, Vasil
#Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2309.13062

Abstract

In this paper I introduce the property CD which is a more convenient variant of the UC property and show one of the possible relationships between them, I also extend the concept of a fixed point, introducing the concept of a weak fixation of a point about a sequence. I introduce contraction map sets with an external factor and formulate a theorem for them, on which the main focus of this article falls.

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