IJPAM: Volume 31, No. 1 (2006)

A NOTE ON $\lambda$-STATISTICALLY CAUCHY SEQUENCES

A. Nihal Tuncer$^1$, F. Berna Benli$^2$
$^{1,2}$Department of Mathematics
Erciyes University
Kayseri, 38039, TURKEY
$^1$e-mail: ntuncer@erciyes.edu.tr
$^2$e-mail: akpinarb@erciyes.edu.tr


Abstract.In this paper, we introduce the concept of $\lambda$-statistically Cauchy sequence of fuzzy numbers and show that it is equivalent to $\lambda$-statistically convergent sequence of fuzzy numbers.

Received: July 7, 2006

AMS Subject Classification: 40A05, 40C05, 40D05

Key Words and Phrases: fuzzy number, statistical convergence, $\lambda$-statistical convergence

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 1