Geodesic
RANDOM STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS A FIXED POINT APPROACH
SCHIN, SEUNG WON1 ; KI, DOHYEONG1 ; CHANG , JAEWON 1 ; KIM, MIN JUNE1
1 Seoul Science High School, Seoul 110-530, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 37-49.

Voir la notice de l'article provenant de la source International Scientific Research Publications

Using the fixed point method, we prove the generalized Hyers- Ulam stability of the following quadratic functional equations
$cf (\sum^n_{ i=1} x_i) + \sum^n_{ j=2} f (\sum^n_{ i=1} x_i - (n + c - 1)x_j)\\ = (n + c - 1)(f(x_1) + c \sum^n _{i=2} f(x_i) + \sum^n_{ i$
in random Banach spaces.
DOI : 10.22436/jnsa.004.01.04
Classification : 46S50, 46C05, 39B52, 47H10
Keywords: random Banach space, fixed point, quadratic functional equation, generalized Hyers-Ulam stability.

SCHIN, SEUNG WON 1 ; KI, DOHYEONG 1 ; CHANG , JAEWON  1 ; KIM, MIN JUNE 1

1 Seoul Science High School, Seoul 110-530, Republic of Korea 
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SCHIN, SEUNG WON; KI, DOHYEONG; CHANG , JAEWON ; KIM, MIN JUNE. RANDOM STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS A FIXED POINT APPROACH. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 37-49. doi : 10.22436/jnsa.004.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.01.04/

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