The object of the present paper is to determine the stability of the Hyers-Ulam-Rassias type theorem concerning the Pexiderized quadratic functional equation in intuitionistic fuzzy normed spaces (IFNS).
Non-Archimedean -fuzzy normed spaces and stability of functional equations
β Scribed by Reza Saadati; Choonkil Park
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 259 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
Lee et al. considered the following quadratic functional equation
and proved the Hyers-Ulam-Rassias stability of the above functional equation in classical Banach spaces.
In this paper, we prove the Hyers-Ulam-Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces.
π SIMILAR VOLUMES
In this paper, we prove a stability result for the additive Cauchy functional equation in random normed spaces, related to the main theorem from the paper [D. MiheΕ£, V. Radu, On the stability of the additive Cauchy functional equation in random normed spaces, J. Math. Anal. Appl. 343 (2008) 567-572]
Making use of the fundamental solution of the heat equation we prove the stability theorems of quadratic functional equation and d'Alembert equation in the spaces of Schwartz distributions and Sato hyperfunctions.
This paper is concerned with the stability and asymptotic stability of ΞΈ -methods for the initial value problems of nonlinear stiff Volterra functional differential equations in Banach spaces. A series of new stability and asymptotic stability results of ΞΈ-methods are obtained.