Abstract <p> In this paper, our objective is to extend the concept of ultrametric spaces by presenting its corresponding structure, namely the ultra-suprametric spaces. of which we mention several properties related to balls. We try also to draw an analogy between ultra-suprametric spaces and ultrametric spaces. We conclude this section with a fixed point theorem of a new rational type contractive in complete ultra-suprametric spaces. </p>

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Comparison Between Ultrametric Space and Ultra-Suprametric Space

  • Karim Chaira

摘要

Abstract

In this paper, our objective is to extend the concept of ultrametric spaces by presenting its corresponding structure, namely the ultra-suprametric spaces. of which we mention several properties related to balls. We try also to draw an analogy between ultra-suprametric spaces and ultrametric spaces. We conclude this section with a fixed point theorem of a new rational type contractive in complete ultra-suprametric spaces.