S-Pata-type contraction: a new approach to fixed-point theory with an application

Deep Chand, Yumnam Rohen, Naeem Saleem*, Maggie Aphane, Asima Razzaque

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions.

Original languageEnglish
Article number59
JournalJournal of Inequalities and Applications
Issue number1
Publication statusPublished - Jan 2024


  • Fixed point
  • Pata-type contraction
  • S-metric space
  • S-Pata-type contraction


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