Common fixed-point results of fuzzy mappings and applications on stochastic Volterra integral equations

Shazia Kanwal, Mohammed Shehu Shagari, Hassen Aydi*, Aiman Mukheimer, Thabet Abdeljawad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for fuzzy set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, a novel integral-type contraction condition is applied to obtain these results. In this way, several useful and classical results have been generalized. Moreover, a concrete example is created to furnish our results. An application to stochastic Volterra integral equations has been given to enhance the validity of our results.

Original languageEnglish
Article number110
JournalJournal of Inequalities and Applications
Volume2022
Issue number1
DOIs
Publication statusPublished - 2022
Externally publishedYes

Keywords

  • Fixed point
  • Fuzzy mapping
  • Hausdorff metric
  • Integral equation

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