Title of article :
A Study on Statistical Convergence of Triple Sequences in Intuitionistic Fuzzy Normed Space
Author/Authors :
Pandit, Shailendra Department of Mathematics - Faculty of Science - National Institute of Technology Patna, Ashok Rajpath, Patna (India) , Ahmad, Ayaz Department of Mathematics - Faculty of Science - National Institute of Technology Patna, Ashok Rajpath, Patna (India)
Abstract :
S. Karkaus, K. Demirci, and O. Duman in 2008 studied
the statistical convergence of a single sequence over Intuitionistic
fuzzy normed space(IFNS). M. Mursaleen in 2009, generalized the
above work for double sequences over IFNS. The present article is
the study of statistical convergence of triple sequence and triple
Cauchy sequences on IFNS. In addition, the article includes exam-
ples in support of some definitions and theorems. Furthermore, we
examined the proof of the completeness of special sequence space.
Keywords :
Triple sequence , Statistical convergence , Intuitionistic fuzzy normed spaces , t-norm , t-conorm , Statistical Cauchy sequences
Journal title :
Sahand Communications in Mathematical Analysis
