Motivated by the equivalent definition of a continuous operator between Banach spaces in terms weakly null nets, we introduce unbounded operators replacing weak convergence with absolutely (uaw-convergence) lattices. We characterize order lattices and reflexive these operators. Moreover, motivated characterizing lattice Cauchy sequences, consider pre-unbounded which maps uaw-Cauchy sequences to...

Several papers, mainly written by J. de la Call and co-authors, contain modifications of classical sequences positive linear operators to obtain new converging limits which are not necessarily the identity operator. Such results were obtained using probabilistic methods. Recently, this type have been with analytic Semi-exponential also introduced, extending theory exponential operators. We comb...

Some results on fixed points related to the contractive compositions of bounded operators in a class of completemetric spaces which can be also considered as Banach’s spaces are discussed through the paper.The class of composite operators under study can include, in particular, sequences of projection operators under, in general, oblique projective operators. In this paper we are concerned with...