On strong {\lambda}-statistical convergence of sequences in probabilistic metric (pm) spaces

Abstract

In this paper we study some basic properties of strong {\lambda}- statistical convergence of sequences in probabilistic metric (PM) spaces. We also introduce and study the notion of strong {\lambda}-statistically Cauchyness. Further introducing the notions of strong {\lambda}-statistical limit point and strong {\lambda}-statistical cluster point of a sequence in a probabilistic metric (PM) space we examine their interrelationship.