The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences. Finally, weak statistical convergence has been discussed in l p spaces. under the Creative Commons Attribution License, which permits unrestricted...

Abstract Topological measures and deficient topological are defined on open closed subsets of a space, generalize regular Borel measures, correspond to (nonlinear in general) functionals that linear singly generated subalgebras or cones functions. They lack subadditivity, many standard techniques measure theory functional analysis do not apply them. Nevertheless, we show classical results proba...