Fixed Point Theorems in Orthogonal Intuitionistic Fuzzy b-metric Spaces with an Application to Fredholm Integral Equation

Subject Areas : Transactions on Fuzzy Sets and Systems

Fahim Uddin ¹ , Muhammad Saeed ² , Khaleel Ahmad ³ , Umar Ishtiaq ⁴ , Salvatore Sessa ⁵

1 - Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan.
2 - Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
3 - Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
4 - Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
5 - Department of Mathematics, University of Naples Federico II, Naples, Italy.

Received: 2024-03-21 Accepted : 2024-06-21 Published : 2024-11-05

Keywords: Orthogonal set, Intuitionistic fuzzy metric space, Unique solution, Integral equation.,

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.

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