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

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 ] $$ \bigl[\wp (s,r)=0 \Leftrightarrow s=r\bigr]\quad \text{by } \bigl[\wp (s,r)=0 \Rightarrow s=r\bigr] $...

Full description

Bibliographic Details
Main Authors: Nabil Mlaiki, Nizar Souayah, Thabet Abdeljawad, Hassen Aydi
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03252-9