Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations

Saif Ur Rehman, Hassen Aydi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This paper is aimed at proving some common fixed point theorems for mappings involving generalized rational-type fuzzy cone-contraction conditions in fuzzy cone metric spaces. Some illustrative examples are presented to support our work. Moreover, as an application, we ensure the existence of a common solution of the Fredholm integral equations: μτ=∫0τΓτ,v,μvdv and ντ=∫0τΓτ,v,νvdv, for all μ∈U, v∈0,η, and 0<η∈ℝ, where U=C0,η,ℝ is the space of all ℝ-valued continuous functions on the interval 0,η and Γ:0,η×0,η×ℝ←ℝ.

Original languageEnglish
Article number5527864
JournalJournal of Function Spaces
Volume2021
DOIs
Publication statusPublished - 2021
Externally publishedYes

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