LOWER AND UPPER SEMI CONVERGENCE IN NORMED QUASILINEAR SPACES

Abstract

In this paper concerning with the notion of convergence in normed quasilinear spaces, we show that convergence of a sequence depends directly on partial order relation defined on the normed quasilinear space. Then we introduce the notions of “lower semi convergence” and “upper semi convergence”. We note that these new definitions about convergence would be an alternative for not convergent sequences in normed quasilinear spaces.