Sentence examples for concerning functional equations from inspiring English sources

They extend some results concerning functional equations to the systems of functional equations in the fields of complex equations.

Interesting new results concerning functional equations related to inner product spaces have recently been obtained by Najati and Rassias [17] as well as for the fuzzy stability of a functional equation related to inner product spaces by Park [18] and Eshaghi Gordji and Khodaei [19].

Interesting new results concerning functional equations related to inner product spaces have recently been obtained by Najati and ThM Rassias [18] as well as for the fuzzy stability of a functional equation related to inner product spaces by Park [19] and Gordji and Khodaei [20].

For some information and further references concerning the functional equations in single variable we refer to [15 17]; for an ample survey on stability results for those equations see [2].

Following the Rassias' result a great number of articles on the subject have been published concerning numerous functional equations in various directions [8 19].

Interesting new results concerning mixed functional equations have recently been obtained by Najati et al. [22 24], Jun and Kim [25, 26] as well as for the fuzzy stability of a mixed-type functional equation by Park et al. [27 29].

Interesting new results concerning mixed functional equations has recently been obtained by Najati et. al. [23, 24], Jun and Kim [25, 26] as well as for the fuzzy stability of a mixed type of additive and quadratic functional equation by Park [27] (see also [28 43]).

We establish some stability results concerning the functional equation.

In this paper, we improve and generalize some results concerning this functional equation via the fixed-point method.

In the present paper, we establish the general solution and some stability results concerning the functional equation (2.1) in normed spaces for This applied to investigate and prove the generalized Hyers-Ulam stability of homomorphisms and generalized derivations in real Banach algebras.

In the recent past, several Hyers-Ulam stability results concerning the various functional equations were determined in [35 46], respectively, in the fuzzy and intuitionistic fuzzy normed spaces.