Hemi metric spaces and Banach fixed point theorem
APPLIED GENERAL TOPOLOGY(2024)
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 2 -metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle was proved and an application to Fredholm integral equation were gived in hemi metric spaces.
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Key words
hemi-metric,fixed point,Banach contraction
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