Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras

Abstract

In this article, a definition of a b (α n ,β n )--best approximations of b (α n ,β n )-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension of fixed point theorems in n -ary orthogonal b (α n ,β n )--hypermetric spaces over Banach algebras.