Fixed point approach for solving a system of Volterra integral equations and Lebesgue integral concept in FCM-spaces

Hasanen A. Hammad, Hassen Aydi*, Choonkil Park

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The goal of this manuscript is to obtain some tripled fixed point results under a new contractive condition and triangular property in the context of fuzzy cone metric spaces (FCM-spaces). Moreover, two examples and corollaries are given to validate our work. Ultimately, as applications, the notion of Lebesgue integral is represented by the fuzzy method to discuss the existence of fixed points. Also, the existence and uniqueness solution for a system of Volterra integral equations are studied by the theoretical results.

Original languageEnglish
Pages (from-to)9003-9022
Number of pages20
JournalAIMS Mathematics
Volume7
Issue number5
DOIs
Publication statusPublished - 2022
Externally publishedYes

Keywords

  • fuzzy cone metric spaces
  • Lebesgue-integrable mapping
  • tripled fixed point
  • Volterra integral equation

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