Hemi metric spaces and Banach fixed point theorems

Vildan Ozturk; Stojan Radenovic

doi:10.4995/agt.2024.19780

Authors

Vildan Ozturk Ankara Hacı Bayram Veli University https://orcid.org/0000-0001-5825-2030
Stojan Radenovic University of Belgrade https://orcid.org/0000-0001-8254-6688

DOI:

https://doi.org/10.4995/agt.2024.19780

Keywords:

hemi metric, fixed point, Banach contraction

Abstract

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.

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Author Biographies

Vildan Ozturk, Ankara Hacı Bayram Veli University

Department of Mathematics

Stojan Radenovic, University of Belgrade

Faculty of Mechanical Engineering

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