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Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique
(2011) Mohiuddine, S.A.; Cancan, Murat; Şevli, Hamdullah
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. © 2011 Elsevier Ltd.
On asymptotically (lambda, sigma)-statistical equivalent sequences of fuzzy numbers
(Hindawi Publishing Corporation, 2010) Savaş, Ekrem; Şevli, Hamdullah; Cancan, Murat
The goal of this paper is to give the asymptotically (lambda, sigma)-statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lambda-statistical convergence of fuzzy numbers.
Statistical convergence of double sequences in fuzzy normed spaces
(Univ Nis, 2012) Mohiuddine, Syed Abdul; Şevli, Hamdullah; Cancan, Murat
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.