Abstract
In this article, we explore the concept of the prequasi norm on Nakano special space of sequences (sss) such that its variable exponent in0,1. We evaluate the sufficient setting on it with the definite prequasi norm to configuration prequasi Banach and closed (sss). The Fatou property of different prequasi norms on this (sss) has been investigated. Moreover, the existence of a fixed point of Kannan prequasi norm contraction maps on the prequasi Banach (sss) and the prequasi Banach operator ideal constructed by this (sss) and s- numbers have been examined.