Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces

Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces

By using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equation f(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y) for fixed integers k with k≠0,±1 in fuzzy Banach spaces.

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.1474-1495-785
Hauptverfasser: Gordji, Madjid Eshaghi, Azadi Kenary, Hassan, Rezaei, H., Lee, Y. W., Kim, Gwang Hui
Format: Artikel
Sprache:eng
Schlagworte:
Additives
Banach space
Banach spaces
Fuzzy
Fuzzy logic
Fuzzy set theory
Inequality
Integers
Mathematical analysis
Probability
Stability
Studies
Vector space
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Zusammenfassung:By using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equation f(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y) for fixed integers k with k≠0,±1 in fuzzy Banach spaces.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/953938