Fixed point results of Jaggi–Suzuki-type hybrid contractions with applications

Jamilu Abubakar Jiddah, Mohammed Shehu Shagari, Maha Noorwali, Shazia Kanwal, Hassen Aydi*, Manuel De La Sen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this manuscript, a novel general class of contractions, called Jaggi–Suzuki-type hybrid (G-α-ϕ)-contraction, is introduced and some fixed point theorems that cannot be deduced from their akin in metric spaces are proved. The dominance of this family of contractions is that its contractive inequality can be specialized in various manners, depending on multiple parameters. Nontrivial comparative examples are constructed to validate the assumptions of our obtained theorems. Consequently, a number of corollaries that reduce our result to some prominent results in the literature are highlighted and analyzed. Additionally, we examine Ulam-type stability and well-posedness for the new contraction proposed herein. Finally, one of our obtained corollaries is applied to set up unprecedented existence conditions for solution to a class of integral equations. For future aspects of our results, an open problem is noted concerning the discretized population balance model, whose solution may be analyzed using the techniques established herein.

Original languageEnglish
Article number46
JournalJournal of Inequalities and Applications
Issue number1
Publication statusPublished - 2023
Externally publishedYes


  • Fixed point
  • G-metric
  • Hybrid contraction
  • Integral equation
  • Ulam stability


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