Cantor's theorem in 2-metric spaces and its applications to fixed point problems
type: Item
instance of: scholarly article
title: Cantor's theorem in 2-metric spaces and its applications to fixed point problems
zbMATH Open document ID: 1245.54046
author: Pratulananda Das
author: Lakshmi Kanta Dey
author: B. K. Lahiri
published in: Taiwanese Journal of Mathematics
publication date: 2011-08-25T00:00:00Z
review text: The authors obtain the well-known Cantor intersection theorem and the Baire category theorem in the setting of 2-metric spaces introduced and studied by \textit{S. Gähler} [Math. Nachr. 26, 115--148 (1963; Zbl 0117.16003)]. They apply Cantor's theorem to deduce some fixed point theorems in 2-metric spaces.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E52
Mathematics Subject Classification ID: 54E99
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 5943156
zbMATH Keywords: 2-metric space
zbMATH Keywords: fixed point
zbMATH Keywords: Cantor's intersection theorem
zbMATH Keywords: Baire category theorem
zbMATH Keywords: Banach's fixed point theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500406178
OpenAlex ID: W1518914568
DOI: 10.11650/TWJM/1500406178
description: scientific article; zbMATH DE number 5943156