Statistical convergence in fuzzy 2-normed space. (English) Zbl 1198.40002

Mohiuddine, S. A.; Şevli, H.; Cancan, M.

J. Comput. Anal. Appl. 12, No. 4, 787-798 (2010).

Summary: Motivated by the notion of 2-norm due to Gähler, we define and study the concept of statistical convergence and statistically Cauchy sequence in fuzzy 2-normed spaces which provide better tools to study a more general class of sequences. We also introduce here statistical limit points and statistical cluster points in fuzzy 2-normed space.

MSC:

40A35	Ideal and statistical convergence
46S40	Fuzzy functional analysis
40J99	Summability in abstract structures (should also be assigned at least one other classification number from Section 40-XX)

Keywords:

fuzzy 2-normed space; statistical convergence; statistically Cauchy sequence; statistical limit point; statistical cluster point; 2-normed space