Nyongesa, A. M.Wanjala, Victor2021-05-262021-05-2620212347-1557http://repository.rongovarsity.ac.ke/handle/123456789/2323In this paper, we introduce the class of (n,m)-metrically equivalent operators which is a generilazation of metrically equivalent operators and n-metrically equivalent operators. We then look at some properties of this class and its relation to some higher classes like quasi-isometries and the (n,m)-class (Q) operators. we also look at the relationship between this class and other equivalence relations like metrically equivalent and n-metrically equivalent operators.enAttribution-NonCommercial-ShareAlike 3.0 United Stateshttp://creativecommons.org/licenses/by-nc-sa/3.0/us/(n,m)-metrically equivalent, n-metrically equivalent, metrically equivalent, (n,m)-class(Q), normal and n-normal operators. © JS Publication.Article