Stability of Quartic Functional Equation in Random 2-Normed Space

Stability of Quartic Functional Equation in Random 2-Normed Space

In this paper, we present the HyersUlamRassias stability of quartic functional equation f(2x + y) + f(2x – y) = 4.f(x + y) + 4f(x – y) + 24f(x) ( 6f(y) in Random 2Normed space . References 1. A. Alotaibi, S.A. Mohiuddine; On the stability of a cubic functional equation in random 2-normed spaces, Advances in Difference Equations, 1,39 (2012) pp. 1-10. 2. D.H. Hyers; On the stability of the linea...

Intuitionistic fuzzy stability of a quadratic and quartic functional equation

In this paper, we prove the generalized Hyers--Ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy Banach spaces.

On the Stability of the Orthogonally Quartic Functional Equation

Random Stability of an Additive-Quadratic-Quartic Functional Equation

1 Department of Mathematics, Islamic Azad University-Ayatollah Amoli Branch, Amol, P.O. Box 678, Iran 2 Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, South Korea 3 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea 4 Dipartimento di Matematica ed Applicazioni, Università degli Stu...

Stability of the Generalized Quadratic and Quartic Type Functional Equation in Non-archimedean Fuzzy Normed Spaces∗

In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of nonArchimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-...