Title of article :
On I and I*-Cauchy Sequences in Probabilistic Normed Spaces
Author/Authors :
Kumar, Vijay Haryana College of Technology and Mannagement - Department of Mathematics, India , Kumar, Kuldeep Deemed University - National Institute of Technology - Department of Mathematics, India
Abstract :
For an admissible ideal I of subsets of N, the set of positive integers, the concept of I-convergence was introduced in [8] and studied by many authors. The aim of this paper is to introduce the notions of I-Cauchy and I*-Cauchy sequences on probabilistic normed spaces. Furthermore, we study some fundamental properties related to these notions.
Keywords :
I , convergence , I* , convergence , I , Cauchy sequence , Continuous t , norm , probabilistic normed space
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences