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.