doiSerbia

Statistical convergence of double sequences in fuzzy normed spaces

Mohiuddine S.A. (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia)
Şevli H. (Department of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, Turkey)
Cancan M. (Department of Mathematics, Yuzuncu Yil University, Van, Turkey)

In this paper, we study the concepts of statistically convergent and statistically Cauchy double sequences in the framework of fuzzy normed spaces which provide better tool to study a more general class of sequences. We also introduce here statistical limit point and statistical cluster point for double sequences in this framework and discuss the relationship between them.

Keywords: Fuzzy normed space, statistical convergence, statistically Cauchy, statistical limit point, statistical cluster point