A new extension to the controlled metric type spaces endowed with a graph

Nabil Mlaiki, Nizar Souayah, Thabet Abdeljawad*, Hassen Aydi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [℘(s,r)=0⇔s=r]by [℘(s,r)=0⇒s=r] and that means basically we may have a non-zero self-distance. We prove some fixed point theorems which generalize many results in the literature. Also, we present an interesting application to illustrate our results by considering controlled metric-like spaces endowed with a graph.

Original languageEnglish
Article number94
JournalAdvances in Difference Equations
Volume2021
Issue number1
DOIs
Publication statusPublished - Dec 2021
Externally publishedYes

Keywords

  • b-metric spaces
  • Controlled metric type space
  • Controlled metric-like space
  • Extended b-metric space
  • Fixed point

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