Some Fixed-Point Theorems on Quasi M-Metric Spaces

In this paper, it will be discussed a metric that is constructed based on a quasi M-metric and a new definition of Cauchy sequences in quasi M-metric spaces. The discussion will be continued by giving a relationship between completeness in the quasi M-metric space and the constructed metric space. F...

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Main Authors: Darojad Rofiud, Indrati Christiana Rini
Format: Article
Language:English
Published: EDP Sciences 2025-01-01
Series:ITM Web of Conferences
Online Access:https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_01001.pdf
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author Darojad Rofiud
Indrati Christiana Rini
author_facet Darojad Rofiud
Indrati Christiana Rini
author_sort Darojad Rofiud
collection DOAJ
description In this paper, it will be discussed a metric that is constructed based on a quasi M-metric and a new definition of Cauchy sequences in quasi M-metric spaces. The discussion will be continued by giving a relationship between completeness in the quasi M-metric space and the constructed metric space. Furthermore, it will be developed some fixed-point theorems on quasi M-metric spaces.
format Article
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issn 2271-2097
language English
publishDate 2025-01-01
publisher EDP Sciences
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spelling doaj-art-c786196ea6554c0da987ea595fb674b92025-08-20T03:02:10ZengEDP SciencesITM Web of Conferences2271-20972025-01-01750100110.1051/itmconf/20257501001itmconf_iconmaa25_01001Some Fixed-Point Theorems on Quasi M-Metric SpacesDarojad Rofiud0Indrati Christiana Rini1Departement of Mathematics, Universitas Gadjah MadaDepartement of Mathematics, Universitas Gadjah MadaIn this paper, it will be discussed a metric that is constructed based on a quasi M-metric and a new definition of Cauchy sequences in quasi M-metric spaces. The discussion will be continued by giving a relationship between completeness in the quasi M-metric space and the constructed metric space. Furthermore, it will be developed some fixed-point theorems on quasi M-metric spaces.https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_01001.pdf
spellingShingle Darojad Rofiud
Indrati Christiana Rini
Some Fixed-Point Theorems on Quasi M-Metric Spaces
ITM Web of Conferences
title Some Fixed-Point Theorems on Quasi M-Metric Spaces
title_full Some Fixed-Point Theorems on Quasi M-Metric Spaces
title_fullStr Some Fixed-Point Theorems on Quasi M-Metric Spaces
title_full_unstemmed Some Fixed-Point Theorems on Quasi M-Metric Spaces
title_short Some Fixed-Point Theorems on Quasi M-Metric Spaces
title_sort some fixed point theorems on quasi m metric spaces
url https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_01001.pdf
work_keys_str_mv AT darojadrofiud somefixedpointtheoremsonquasimmetricspaces
AT indratichristianarini somefixedpointtheoremsonquasimmetricspaces