Journal of Function Spaces and Applications | 2021
Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations
Abstract
This paper is aimed at proving some common fixed point theorems for mappings involving generalized rational-type fuzzy conecontraction 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: μðτÞ = Ð τ0Γðτ, v, μðvÞÞdv and νðτÞ = Ð τ 0Γðτ, v, νðvÞÞdv, for all μ ∈U , v ∈ 1⁄20, η , and 0 < η ∈R, where U = Cð1⁄20, η ,RÞ is the space of all R-valued continuous functions on the interval 1⁄20, η and Γ : 1⁄20, η × 1⁄20, η ×R⟶R.