Open AccessOn (λ,µ)-statistical convergence of double sequences on intuitionistic fuzzy normed spaces
Author(s) -
Vijay Kumar,
M. Mursaleen
Publication year - 2011
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1102109k
Subject(s) - mathematics , convergence (economics) , cauchy sequence , normed vector space , cauchy distribution , discrete mathematics , modes of convergence (annotated index) , fuzzy logic , pure mathematics , topological space , mathematical analysis , artificial intelligence , topological vector space , computer science , economics , economic growth , isolated point
In this paper, we define (?, ?)- statistical convergence and (?, ?)-statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where ? = (?n ) and ? = (?m) be two non-decreasing sequences of positive real numbers such that each tending to ? and ?n+1 ? ?n + 1, ?1 = 1; ?m+1 ? ?m + 1, ?1 = 1. We display example that shows our method of convergence is more general for double sequences in intuitionistic fuzzy normed spaces.