Characterization of \(\Sigma\)-semicompleteness via Caristi's fixed point theorem in semimetric spaces
type: Item
instance of: scholarly article
title: Characterization of \(\Sigma\)-semicompleteness via Caristi's fixed point theorem in semimetric spaces
zbMATH Open document ID: 1488.54186
DOI: 10.1155/2018/9435470
author: Tomonari Suzuki
published in: Journal of Function Spaces
publication date: 2018-04-25T00:00:00Z
review text: In this paper, the author presents the concept of \(\sum\)-semicompleteness in semimetric spaces and gives Caristi's theorem on the fixed point in \(\sum\)-semicomplete semimetric spaces. Using the obtained result, the author characterizes \(\sum\)-semicompleteness. Also, a generalization of Banach's contraction principle is given.
reviewed by: Zoran D. Mitrović
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E50
zbMATH DE Number: 6864753
zbMATH Keywords: \(\sum\)-semicomplete
zbMATH Keywords: semimetric spaces
zbMATH Keywords: Caristi's fixed point theorem
zbMATH Keywords: Banach's contraction principle
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9435470
OpenAlex ID: W2792656287
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description: scientific article; zbMATH DE number 6864753