Some Results on Matricial Field C-Algebras

In this paper, we consider Blackadar and Kirchberg's MF algebras. We show that any inner quasidiagonal C-algebra is MF algebra and we generalize Voiculescu's Representation Theorem for a special version of MF algebras. Moreover, we define a weak version of MF algebras namely matrical amenable (AM) algebras, and prove some results related to this new notion. Finally, we consider real C-algebras and we show that a real C-algebra is MF if and only if its complexification is MF

Approximation of homomorphisms and derivations of additive functional equation of n-Apollonius type in induced fuzzy Lie C*-Algebras

Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms  and derivations of additive functional equation of n-Apollonius type for afixed positive n with n>=2 on induced fuzzy C*-Algebras and induced fuzzy Lie C*-Algebras

Approximate 2-dimensional Pexider Quadratic Functional Equations In Fuzzy Normed Spaces and Topological Vector Space

In this paper, we prove the Hyers-Ulam stability of the 2-dimensional Pexider quadratic functional equation in fuzzy normed spaces. Moreover, we prove the Hyers-Ulam stability of this functional equation, where f, g are functions defined on an abelian group with values in a topological vector space

An equivalent condition to the Jensen inequality for the generalized Sugeno integral.

For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized Sugeno integral are given