Article

On perfectness of Zaitov metrization of the hyperspace functor

Ljubiša D. R. KočinacFaculty of Sciences and Mathematics, University of Niš, Niš, SerbiaDilorom BeshimovaBukhara State University, Bukhara, UzbekistanAzad Yangibaevich IshmetovTashkent University of Architecture and Civil Engineering, Tashkent, Uzbekistan

Filomatjournal2025en

ABI

Abstract

Recently, A. Zaitov suggested a new metric on the space of all nonempty compact subsets of a given metric space. In the present paper we show that this metric turns the hyperspace functor exp into a perfect metrizable functor. Further, we establish that the hyperspace functor has many remarkable properties with respect to this metrization. In particular, this functor preserves isometric embeddings.

Topics

Advanced Topology and Set Theory Advanced Banach Space Theory Fixed Point Theorems Analysis

Identifiers

DOI: 10.2298/fil2507475k

Citations and references

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