Graphical structure of double controlled metric-like spaces with an application

Hasanen A. Hammad*, Hassen Aydi*, Manuel De la Sen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The aim of the manuscript is to present the concept of a graphical double controlled metric-like space (for short, GDCML-space). The structure of an open ball of the proposed space is also discussed, and the newly presented ideas are explained with a new technique by depicting appropriately directed graphs. Moreover, we present some examples in a graph structure to prove that our results are sharp compared to those in the previous papers. Further, the existence of a solution to the boundary value problem originating from the transverse oscillations of a homogeneous bar (TOHB) is obtained theoretically.

Original languageEnglish
Article number46
JournalAdvances in Continuous and Discrete Models
Issue number1
Publication statusPublished - Dec 2022
Externally publishedYes


  • Directed graph
  • Fixed point
  • GDCML-space
  • Homogeneous bar


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