On generalized complete metric spaces

On the Stability of Quartic Functional Equations via Fixed Point and Direct Method

“…Now, first we study some definitions, results and notations for the next sections which have been already studied. (see [1], [2], [3], [5], [6] …”

“…The purpose of this paper is to establish the Hyers-UlamRassias stability of quartic functional equation (3 ) …”

The stability of an additive functional equation in menger probabilistic φ-normed spaces

“…In the proof of our main theorem we use the following fixed point theorem in generalized metric spaces [10] (also see [14]). …”

Generalized Jensen functional equation on restricted domain

“…In 1992, S. Czerwik [13], in the spirit of Hyers-Ulam-Rassias generalized the Skof's theorem. Recently, the stability problem of the K-quadratic functional equation has been investigated by a number of mathematicians, the interested reader should refer to Ait Sibaha , Bouikhalene and Elqorachi [1], B.Bouikhalene, et al [5], A.Charifi, et al [10], Ab.Chahbi, et al [9] and R. Lukasik [27], see also [6], [20], [22]- [25] and [32]. In 1998 Jung [22] investigated the Hyers-Ulam stability for additive and quadratic mappings on restricted domains.…”