Random Stability of an Additive-Quadratic-Quartic Functional Equation

Pasquale Vetro

Random Stability of an Additive-Quadratic-Quartic Functional Equation

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of thefollowing additive-quadratic-quarticfunctional equation f(x+2y)+f(x-2y) = 2f(x+y)+2f(-x-y) +2 f(x-y) + 2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)- 4f(y) - 4f(-y) in complete random normed spaces.

Original language	English
Pages (from-to)	1-18
Number of pages	0
Journal	Journal of Inequalities and Applications
Volume	2010
Publication status	Published - 2010

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abstract = "Using the fixed point method, we prove the generalized Hyers-Ulam stability of thefollowing additive-quadratic-quarticfunctional equation f(x+2y)+f(x-2y) = 2f(x+y)+2f(-x-y) +2 f(x-y) + 2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)- 4f(y) - 4f(-y) in complete random normed spaces.",

keywords = "Random normed space, additive-quadratic-quartic functional equation, fixed point, generalized Hyers-Ulam stability, Random normed space, additive-quadratic-quartic functional equation, fixed point, generalized Hyers-Ulam stability",

author = "Pasquale Vetro",

year = "2010",

language = "English",

volume = "2010",

pages = "1--18",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

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T1 - Random Stability of an Additive-Quadratic-Quartic Functional Equation

AU - Vetro, Pasquale

PY - 2010

Y1 - 2010

N2 - Using the fixed point method, we prove the generalized Hyers-Ulam stability of thefollowing additive-quadratic-quarticfunctional equation f(x+2y)+f(x-2y) = 2f(x+y)+2f(-x-y) +2 f(x-y) + 2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)- 4f(y) - 4f(-y) in complete random normed spaces.

AB - Using the fixed point method, we prove the generalized Hyers-Ulam stability of thefollowing additive-quadratic-quarticfunctional equation f(x+2y)+f(x-2y) = 2f(x+y)+2f(-x-y) +2 f(x-y) + 2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)- 4f(y) - 4f(-y) in complete random normed spaces.

KW - Random normed space

KW - additive-quadratic-quartic functional equation

KW - fixed point

KW - generalized Hyers-Ulam stability

KW - Random normed space

KW - additive-quadratic-quartic functional equation

KW - fixed point

KW - generalized Hyers-Ulam stability

UR - http://hdl.handle.net/10447/48944

M3 - Article

VL - 2010

SP - 1

EP - 18

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

SN - 1025-5834

ER -

Random Stability of an Additive-Quadratic-Quartic Functional Equation

Abstract

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