On the Stability Problem in Fuzzy Banach Space

We investigate the generalized Ulam-Hyers stability of the Cauchy functional equation and pose two open problems in fuzzy Banach space

Fuzzy approximation of an additive functional equation

In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited

Frames for compressed sensing using coherence

Abstract. We give some new results on sparse signal recovery in the presence of noise, for weighted spaces. Traditionally, were used dictionaries that have the norm equal to 1, but, for random dictionaries this condition is rarely satisfied. Moreover, we give better estimations then the ones given recentl

Homomorphisms and derivations in proper lie CQ*-Algebras

In this paper, we investigate homomorphisms in proper Lie CQ*-algebras and derivations on proper Lie CQ*-algebras associated with the following Pexiderized functional equation f(x + y) = f0(x) + f1(y): Moreover, we prove the Hyers-Ulam stability of homomorphisms in proper Lie CQ*-algebras and of derivations on proper Lie CQ*-algebras