An inevitable note on bipolar metric spaces

Autor: Erdal Karapınar, Marija Cvetković
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 2, Pp 3320-3331 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024162?viewType=HTML
Popis: Bipolar metric spaces and related fixed point theorems therein were introduced based on the motivation of measuring the distance between the elements of distinct sets. The question regarding the independence of these results from the analogous results on a fixed point of an induced mapping on a Cartesian product of two sets. We proved that bipolar metric space is metrizable and we presented two different approaches for defining a metric induced by a bipolar metric. Two obtained metric spaces demonstrated the lack of novelty of fixed point theorems for covariant and contravariant contraction.
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