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- Alireza Kamel Mirmostafaee, M. Mirzavaziri, Mohammad Sal Moslehian
- Fuzzy Sets and Systems
- 2008

We establish a generalized Hyers–Ulam–Rassias stability theorem in the fuzzy sense. In particular, we introduce the notion of fuzzy approximate Jensen mapping and prove that if a fuzzy approximate Jensen mapping is continuous at a point, then we can approximate it by an everywhere continuous Jensen mapping. As a fuzzy version of a theorem of Schwaiger, we… (More)

- Alireza Kamel Mirmostafaee, Mohammad Sal Moslehian
- Fuzzy Sets and Systems
- 2008

We introduce three reasonable versions of fuzzy approximately additive functions in fuzzy normed spaces. More precisely, we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in a fuzzy sense. © 2007 Elsevier B.V. All rights reserved. MSC: primary 46S40secondary 39B52 39B82 26E50 46S50

We approximate a fuzzy almost quadratic function by a quadratic function in a fuzzy sense. More precisely, we establish a fuzzy Hyers–Ulam–Rassias stability of the quadratic functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y). Our result can be regarded as a generalization of the stability phenomenon in the framework of normed spaces. We also prove a… (More)

- Alireza Kamel Mirmostafaee
- Fuzzy Sets and Systems
- 2009

Wewill define a notion for a quasi fuzzy p-normed space, then we use the fixed point alternative theorem to establish Hyers–Ulam– Rassias stability of the quartic functional equation where functions map a linear space into a complete quasi fuzzy p-normed space. Later, we will show that there exists a close relationship between the fuzzy continuity behavior… (More)

- Alireza Kamel Mirmostafaee, Mohammad Sal Moslehian
- Fuzzy Sets and Systems
- 2009

In this paper we introduce a notion of a non-Archimedean fuzzy norm and study the stability of the Cauchy equation in the context of non-Archimedean fuzzy spaces in the spirit of Hyers–Ulam–Rassias–Găvruţa. As a corollary, the stability of the Jensen equation is established. We indeed present an interdisciplinary relation between the theory of fuzzy spaces,… (More)

- Alireza Kamel Mirmostafaee, Mohammad Sal Moslehian
- Inf. Sci.
- 2008

- SunSook Jin, Yang-Hi Lee, +4 authors YANG-HI LEE
- 2012

A classical question in the theory of functional equations is “when is it true that a mapping, which approximately satisfies a functional equation, must be somehow close to an exact solution of the equation?”. Such a problem, called a stability problem of the functional equation, was formulated by S. M. Ulam [22] in 1940. In the next year, D. H. Hyers [6]… (More)

We will establish stability of Fréchet functional equation

- Alireza Kamel Mirmostafaee
- Fuzzy Sets and Systems
- 2012

- HARI M. SRIVASTAVA, ALIREZA KAMEL MIRMOSTAFAEE, MAJID MIRZAVAZIRI
- 2010

Let (X,N) be a fuzzy normed space. For each 0 < < 1 and a non-empty subset A of X, we define a natural notion for -farthest points from A and a set-valued map x 7→ Q (A, x), called the fuzzy -farthest point map. Then we will investigate basic properties of the fuzzy -farthest point mapping. In particular, we show that the fuzzy -farthest point map is… (More)