Browsing by Author "Mohiuddine, S. A."

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Intuitionistic Fuzzy Stability of a Jensen Functional Equation Via Fixed Point Technique
(Pergamon-elsevier Science Ltd, 2011) Mohiuddine, S. A.; Cancan, M.; Sevli, H.
The object of this paper is to determine Hyers-Ulam-Rassias stability concerning the Jensen functional equation in intuitionistic fuzzy normed space (IFNS) by using the fixed point method. Further, we establish stability of the Cauchy functional equation in IFNS. (C) 2011 Elsevier Ltd. All rights reserved.
Statistical Convergence in Fuzzy 2-Normed Space
(Eudoxus Press, Llc, 2010) Mohiuddine, S. A.; Sevli, H.; Cancan, M.
Motivated by the notion of 2-norm due to Gahler [S. Gahler, 2-metrische Raume und ihre topologische Struktur, Math. Nachr. 26 (1963) 115-148], in this paper we define and study the concept of statistical convergence and statistically Cauchy sequence in fuzzy 2-normed space which provide better tool to study a more general class of sequences. We also introduce here statistical limit point and statistical cluster point in fuzzy 2-normed space.
Statistical Convergence of Double Sequences in Fuzzy Normed Spaces
(Univ Nis, Fac Sci Math, 2012) Mohiuddine, S. A.; Sevli, H.; Cancan, M.
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.