Best proximity point theorem in higher dimensions with an application

In this article, we introduce the notion of Fn-contractions T : A^n → B in standard metric spaces and explore the possibility of certain approximation results for these mappings. We prove the existence and uniqueness of n-tuple (n ≥ 2) best proximity points of Fn-contractions, not necessarily continuous, using the weak P-property in complete metric spaces. Additionally, suitable examples are presented to substantiate our main results. Moreover, we anticipate a fixed point result to prove the existence and uniqueness of the solution for a type of integral equations to elucidate our obtained theorems.