Fixed Point Theorems in Orthogonal Intuitionistic Fuzzy b-metric Spaces with an Application to Fredholm Integral Equation
Salvatore Sessa
1
(Department of Mathematics, University of Naples Federico II, Naples, Italy.)
Fahim Ud Din
2
(Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan.)
Muhammad Saeed
3
(Department of Mathematics, University of Management and Technology, Lahore, Pakistan.)
Khaleel Ahmad
4
(Department of Mathematics, University of Management and Technology, Lahore, Pakistan.)
Umar Ishtiaq
5
(Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.)
الکلمات المفتاحية: Orthogonal set, Intuitionistic fuzzy metric space, Unique solution, Integral equation.,
ملخص المقالة :
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.
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