On generalized ℑb-contractions and related applications

Muhammad Rashid, Muhammad Sarwar*, Muhammad Fawad, Saber Mansour, Hassen Aydi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this manuscript, using the idea of b-simulation functions, certain common fixed point results via generalized ℑb-contractions are investigated in the context of b-metric spaces. These findings generalize and supplement various numbers of established results from the existing literature. Examples and applications are also provided for the authenticity of the presented work. Besides, we ensure the existence of a unique common solution for systems of Volterra-Hammerstein integral and Urysohn integral equations, respectively, by applying the established results.

Original languageEnglish
Pages (from-to)20892-20913
Number of pages22
JournalAIMS Mathematics
Issue number9
Publication statusPublished - 2023
Externally publishedYes


  • b-metric space
  • b-simulation function
  • compatible mapping
  • fixed point
  • generalized ℑ-contraction
  • ℑ-contraction


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