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

Fahim Ud Din ¹ (Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan.)
Muhammad  Saeed ² (Department of Mathematics, University of Management and Technology, Lahore, Pakistan.)
Khaleel Ahmad ³ (Department of Mathematics, University of Management and Technology, Lahore, Pakistan.)
Umar Ishtiaq ⁴ (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.)
Salvatore Sessa ⁵ (Department of Mathematics, University of Naples Federico II, Naples, Italy.)

تاریخ ارسال : 1403/01/02 تاریخ تایید : 1403/04/01

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

چکیده مقاله :

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.

چکیده انگلیسی :

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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