The aim of this paper is to establish some relationship between the set strong uniform statistical cluster points and a given sequence in probabilistic normed space. To aim, let density be on positive integers N for space, that is, cases as equal lower upper subset N. We introduce concept give new type convergence Note non-empty compact set. also investigate properties all

The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces. In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilis...

In this paper, the idea of lacunary [Formula: see text]-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text]-statistical convergence with lacunary [Formula: see text]-summable sequences. Moreover, we study the [Formula: see text]-lacunary statistical convergence in probabilistic normed space a...

In this paper, we consider action-labelled systems with non-deterministic and probabilistic choice. Using the concept of norm functions GV98], we introduce two types of bisimulations that allow for delays when simulating a transition. The so obtained equivalences (called (strict) normed bisimulation equivalence) are strictly between strong and weak bisimulation equivalence a la LS89, SL94, SL95...

in this paper, we consider a generalization of the real normed spaces and give some examples.

In this paper we study the concept of lacunary statistical convergent triple sequences in probabilistic normed spaces and prove some basic properties.

In this paper, we consider Nearest points" and Farthestpoints" in normed linear spaces. For normed space (X; ∥:∥), the set W subset X,we dene Pg; Fg;Rg where g 2 W. We obtion results about on Pg; Fg;Rg. Wend new results on Chebyshev centers in normed spaces. In nally we deneremotal center in normed spaces.

the present paper introduces the notion of the complete fuzzy norm on a linear space. and, some relations between the fuzzy completeness and ordinary completeness on a linear space is considered, moreover a new form of fuzzy compact spaces, namely b-compact spaces and b-closed spaces are introduced. some characterizations of their properties are obtained.