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n-dimensional quintic and sextic functional equations and their stabilities in Felbin type spaces
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Pasupathi Narasimman
,
John M. Rassias
Published/Copyright:
August 16, 2015
Abstract
In this paper, we derive general solution of new n-dimensional quintic and sextic functional equations and investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability and generalized Hyers–Ulam–Rassias stability for quintic and sextic functional equations in Felbin type fuzzy normed linear spaces. Also, we give the counter examples for the Hyers–Ulam–Rassias stability of quintic and sextic functional equations for some cases.
Keywords: Generalized Hyers–Ulam–Rassias stability; quintic functional equation; sextic functional equation; Felbin's type fuzzy normed linear spaces
We extend our thanks to the editors and the referee for their valuable comments and good feedback from the reading of this paper.
Received: 2014-1-20
Accepted: 2015-1-13
Published Online: 2015-8-16
Published in Print: 2016-3-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The annihilating-ideal graph of a lattice
- On derivations and commutativity of prime rings with involution
- On the traces of certain classes of permuting mappings in rings
- Measurability properties of certain paradoxical subsets of the real line
- Some classical Tauberian theorems for (C,1,1,1) summable triple sequences
- Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces
- Irrationality measures for almost periodic continued fractions
- Elementary volume and measurability properties of additive functions
- On (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras
- Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity
- Nonlinear iterative algorithms for quasi contraction mapping in modular space
- n-dimensional quintic and sextic functional equations and their stabilities in Felbin type spaces
- Some remarks on quasi-Frobenius rings
