Title of article :
Fixed Point Theorems in Orthogonal Intuitionistic Fuzzy b-metric Spaces with an Application to Fredholm Integral Equation
Author/Authors :
Uddin ، Fahim Abdus Salam School of Mathematical Sciences - Government College University , Saeed ، Muhammad Department of Mathematics - University of Management and Technology , Ahmad ، Khaleel Department of Mathematics - University of Management and Technology , Ishtiaq ، Umar Department of Mathematics - Quaid-i-Azam University , Sessa ، Salvatore Department of Mathematics - University of Naples Federico II
Abstract :
In this manuscript, the concept of an orthogonal intuitionistic fuzzy b-metric space is initiated as a generalization of an intuitionistic fuzzy b-metric space. We presented some fixed point results in this setting. For the validity of the obtained results, some non-trivial examples are given. In the last part, we established an application on the existence of a unique solution of a Fredholm-type integral equation.
Keywords :
Orthogonal set , Intuitionistic fuzzy metric space , Unique solution , Integral equation.
Journal title :
Transactions on Fuzzy Sets and Systems
Journal title :
Transactions on Fuzzy Sets and Systems
