Hemi metric spaces and Banach fixed point theorems

In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were proved and a application to Fredholm integral equati...

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Bibliographic Details
Published inApplied general topology Vol. 25; no. 1; pp. 175 - 182
Main Authors Ozturk, Vildan, Radenovic, Stojan
Format Journal Article
LanguageEnglish
Published Universitat Politècnica de València 02.04.2024
Subjects
banach contraction
fixed point
hemi metric
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Summary:In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were proved and a application to Fredholm integral equation were gived in hemi metric spaces.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2024.19780