TY - JOUR
T1 - Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations
AU - Rehman, Saif Ur
AU - Aydi, Hassen
N1 - Publisher Copyright:
© 2021 Saif Ur Rehman and Hassen Aydi.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85106989930&partnerID=8YFLogxK
U2 - 10.1155/2021/5527864
DO - 10.1155/2021/5527864
M3 - Article
AN - SCOPUS:85106989930
SN - 2314-8896
VL - 2021
JO - Journal of Function Spaces
JF - Journal of Function Spaces
M1 - 5527864
ER -