Results 91 to 100 of about 24,678 (193)

Nonlinear Random Stability via Fixed-Point Method

Journal of Applied Mathematics, 2012
We prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y) in various complete random normed spaces.
Yeol Je Cho, Shin Min Kang, Reza Saadati
doaj   +1 more source

Phase transition in matrix model with logarithmic action: Toy-model for gluons in baryons

, 2006
We study the competing effects of gluon self-coupling and their interactions with quarks in a baryon, using the very simple setting of a hermitian 1-matrix model with action tr A^4 - log det(nu + A^2).
G.M. Cicuta, G.S. Krishnaswami, Govind S Krishnaswami   +2 more
core   +1 more source

Fixed Points and the Stability of an AQCQ-Functional Equation in Non-Archimedean Normed Spaces

Abstract and Applied Analysis, 2010
Using fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y) in non-Archimedean Banach spaces.
Choonkil Park
doaj   +1 more source

On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces

Journal of Inequalities and Applications, 2009
We establish the general solution of the functional equation for fixed integers with and investigate the generalized Hyers-Ulam stability of this equation in quasi-Banach spaces.
Park Choonkil, Gordji MEshaghi, Abbaszadeh S   +2 more
doaj   +2 more sources

Stability of Quartic Functional Equation in Random 2-Normed Space

International Journal of Computer Applications, 2016
In this paper, we present the HyersUlamRassias stability of quartic functional equation f(2x + y) + f(2x – y) = 4.f(x + y) + 4f(x – y) + 24f(x)  6f(y) in Random 2Normed space .
Kusum Dhingra, Roji Lather
openaire   +1 more source

A Note to Paper "On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces"

Journal of Inequalities and Applications, 2009
Recently, Baktash et al. (2008) proved the stability of the cubic functional equation and the quartic functional equation in random normed spaces. In this note, we correct the proofs.
Cho YJ, Saadati R, Vaezpour SM
doaj  

Ward identity violation for melonic T4-truncation

Nuclear Physics B, 2019
Referring to recent works concerning the functional renormalization group for tensorial group fields theories (Lahoche and Ousmane Samary (2018) [2] and [1]), this paper gives in-depth explanation for, the ambiguity around the search of fixed points in ...
Vincent Lahoche, Dine Ousmane Samary
doaj   +1 more source

A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces

Discrete Dynamics in Nature and Society, 2010
Using the fixed point methods, we prove the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f(x+ky)+f(x−ky)=k2f(x+y)+k2f(x−y)+2(1−k2)f(x)+((k4−k2)/12)[f(2y)+f(−2y)−4f(y)−4f(−y)] for a fixed ...
Tian Zhou Xu, John Michael Rassias, Wan Xin Xu   +2 more
doaj   +1 more source

Nonlinear -Random Stability of an ACQ Functional Equation

Journal of Inequalities and Applications, 2011
We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation: in complete latticetic random normed spaces.
Saadati Reza, Zohdi MM, Vaezpour SM
doaj  

A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation

Fixed Point Theory and Applications, 2010
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation in Banach spaces.
Kim Ji-hye, Park Choonkil, Lee JungRye
doaj